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Erot

Tämä näyttää erot valitun ja nykyisen version kesken tästä sivusta.

Linkki vertailunäkymään

Both sides previous revisionEdellinen revisio
Seuraava revisio		Edellinen revisio
playground:playground [06/03/2019 11:40] – harriplayground:playground [07/11/2022 21:28] (nykyinen) – harri
Rivi 1: Rivi 1:
-<font inherit/inherit;;inherit;;transparent>**Sähkön etäviikkotehtäviä 2019**</font>+<html> 
 +<head> 
 +    <title>Valintakoe</title> 
 +    <meta charset="UTF-8"> 
 +    <meta name="format-detection" content="telephone=no"> 
 +    <meta name="app-path" content="./"> 
 +    <meta name="page-integrity" content="false"> 
 +    <meta name="answer-key" content="-"> 
 +    <meta name="tz-offset" content="-10800000"> 
 +    <meta name="google" content="notranslate"> 
 +    <meta name="base-timestamp" content="1664892858486"> 
 +    <meta name="viewport" content="width=device-width, initial-scale=1.0">
  
-  - 
-<code> 
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2002</font> 
-<font inherit/inherit;;inherit;;transparent>Matkapuhelimen akussa on merkinnät 670 mAh ja 3,6 V ja laturissa merkintä 1,3 W. Kun akusta otettiin vastuksen kautta 53,5 mA:n virta, niin akun napajännite oli 3,66 V. Kun virta oli 126 mA, niin napajännite oli 3,61 V.</font> 
-</code> 
  
-<font inherit/inherit;;inherit;;transparent>Kuinka kauan tyhjän akun varaaminen kestää, jos oletetaan, että napajännite on vakio 3,6 V koko varaamisen ajan?</font>+<style> 
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#2b2b2b;margin:2px;padding:3px;float:left;width:45px;height:20px;line-height:19px;text-align:center;vertical-align:middle;cursor:pointer;display:table-cell;border-radius:5px}div.nokey{border:1px solid transparent !important}div#calc button.key,input#expression,input#result{font-family:"DejaVu Sans",Helvetica,Arial,sans-serif}div#calc button{color:#000;font-size:100%}div#calc button.key:hover{background:#ddd}div#calc button.key:active{background:#ccc}div.larger{font-size:22px}div#calc .lettersymbol{font-style:italic}div#calc button.trigonometry,div#calc button.power,div#calc button.logarithm{background:#ffffe0}div#calc button.arithmetics,div#calc button.parenthesis{background:#e0ffff}div#calc button.storage{background:#d3d3d3}div#calc button.available{background:#90ee90}div#calc button.delete{background:#ffa07a}div#calc button.number,div#calc button.equals{background:#fff}div#calc button.key sup,div#calc button.key sub{font-size:12px;vertical-align:baseline;position:relative}div#calc button.key sup{top:-.4em}div#calc button.key sub{top:.4em}input::-ms-clear{display:none}div.tex-loading{display:inline-block;background-color:#ededed;margin:.14em;font-size:.9em;padding:0 .3em}.mq-math-mode{font-size:1em} 
 +</style>
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>Laske akun sisäresistanssi ja lähdejännite.</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>**Sähkön etäviikkotehtäviä 2019**</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2002 \\ 
-Matkapuhelimen akussa on merkinnät 670 mAh ja 3,6 V ja laturissa merkintä 1,3 W. Kun akusta otettiin vastuksen kautta 53,5 mA:n virta, niin akun napajännite oli 3,66 V. Kun virta oli 126 mA, niin napajännite oli 3,61 V.</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>Laske akun sisäresistanssi ja lähdejännite.</font> 
  
-  -+    <script type="text/javascript"> 
 +    window.mathParser=(function(){"use strict";function peg$subclass(child,parent){function ctor(){this.constructor=child;} 
 +ctor.prototype=parent.prototype;child.prototype=new ctor();} 
 +function peg$SyntaxError(message,expected,found,location){this.message=message;this.expected=expected;this.found=found;this.location=location;this.name="SyntaxError";if(typeof Error.captureStackTrace==="function"){Error.captureStackTrace(this,peg$SyntaxError);}} 
 +peg$subclass(peg$SyntaxError,Error);peg$SyntaxError.buildMessage=function(expected,found){var DESCRIBE_EXPECTATION_FNS={literal:function(expectation){return"\""+literalEscape(expectation.text)+"\"";},"class":function(expectation){var escapedParts="",i;for(i=0;i<expectation.parts.length;i++){escapedParts+=expectation.parts[i]instanceof Array?classEscape(expectation.parts[i][0])+"-"+classEscape(expectation.parts[i][1]):classEscape(expectation.parts[i]);} 
 +return"["+(expectation.inverted?"^":"")+escapedParts+"]";},any:function(expectation){return"any character";},end:function(expectation){return"end of input";},other:function(expectation){return expectation.description;}};function hex(ch){return ch.charCodeAt(0).toString(16).toUpperCase();} 
 +function literalEscape(s){return s.replace(/\\/g,'\\\\').replace(/"/g,'\\"').replace(/\0/g,'\\0').replace(/\t/g,'\\t').replace(/\n/g,'\\n').replace(/\r/g,'\\r').replace(/[\x00-\x0F]/g,function(ch){return'\\x0'+hex(ch);}).replace(/[\x10-\x1F\x7F-\x9F]/g,function(ch){return'\\x'+hex(ch);});} 
 +function classEscape(s){return s.replace(/\\/g,'\\\\').replace(/\]/g,'\\]').replace(/\^/g,'\\^').replace(/-/g,'\\-').replace(/\0/g,'\\0').replace(/\t/g,'\\t').replace(/\n/g,'\\n').replace(/\r/g,'\\r').replace(/[\x00-\x0F]/g,function(ch){return'\\x0'+hex(ch);}).replace(/[\x10-\x1F\x7F-\x9F]/g,function(ch){return'\\x'+hex(ch);});} 
 +function describeExpectation(expectation){return DESCRIBE_EXPECTATION_FNS[expectation.type](expectation);} 
 +function describeExpected(expected){var descriptions=new Array(expected.length),i,j;for(i=0;i<expected.length;i++){descriptions[i]=describeExpectation(expected[i]);} 
 +descriptions.sort();if(descriptions.length>0){for(i=1,j=1;i<descriptions.length;i++){if(descriptions[i-1]!==descriptions[i]){descriptions[j]=descriptions[i];j++;}} 
 +descriptions.length=j;} 
 +switch(descriptions.length){case 1:return descriptions[0];case 2:return descriptions[0]+" or "+descriptions[1];default:return descriptions.slice(0,-1).join(", ") 
 ++", or " 
 ++descriptions[descriptions.length-1];}} 
 +function describeFound(found){return found?"\""+literalEscape(found)+"\"":"end of input";} 
 +return"Expected "+describeExpected(expected)+" but "+describeFound(found)+" found.";};function toCustomPrecision(number){var PRECISION_DECIMALS_SMALL=8;var PRECISION_DECIMALS_BIG=14;var PRECISION_THRESHOLD=0.01;var precision;if(Math.abs(number)<PRECISION_THRESHOLD){precision=PRECISION_DECIMALS_SMALL;}else{precision=PRECISION_DECIMALS_BIG;} 
 +return parseFloat(number.toPrecision(precision));} 
 +function peg$parse(input,options){options=options!==void 0?options:{};var peg$FAILED={},peg$startRuleFunctions={start:peg$parsestart},peg$startRuleFunction=peg$parsestart,peg$c0=/^[+\-]/,peg$c1=peg$classExpectation(["+","-"],false,false),peg$c2=function(left,right){var ret=left;var i;if(isNaN(ret)||!isFinite(ret)) 
 +return ret 
 +for(i=0;i<right.length;++i){var num=right[i][1];if(isNaN(num)||!isFinite(num)) 
 +return num 
 +if(right[i][0]=="+"){ret=ret+num;}else if(right[i][0]=="-"){ret=ret-num;} 
 +if(i<right.length-1){ret=toCustomPrecision(ret);}} 
 +return parseFloat(ret);},peg$c3=/^[\xD7\xF7*\/]/,peg$c4=peg$classExpectation(["\xD7","\xF7","*","/"],false,false),peg$c5=function(left,right){var ret=left;var i;if(isNaN(ret)||!isFinite(ret)) 
 +return ret 
 +for(i=0;i<right.length;++i){var num=right[i][1];if(isNaN(num)||!isFinite(num)) 
 +return num 
 +if(right[i][0]=="×"||right[i][0]=="*"){ret=ret*num;}else if(right[i][0]=="÷"||right[i][0]=="/"){ret=ret / num;}else{ret=ret*right[i][0];} 
 +if(i<right.length-1){ret=toCustomPrecision(ret);}} 
 +return parseFloat(ret);},peg$c6=/^[\-]/,peg$c7=peg$classExpectation(["-"],false,false),peg$c8=function(sign,expression){var ret=expression;if(sign){ret=-ret;} 
 +return ret;},peg$c9="log(",peg$c10=peg$literalExpectation("log(",false),peg$c11=")",peg$c12=peg$literalExpectation(")",false),peg$c13=function(operand){return Math.log(operand)/ Math.LN10;},peg$c14="ln(",peg$c15=peg$literalExpectation("ln(",false),peg$c16=function(operand){return Math.log(operand);},peg$c17="\u221A",peg$c18=peg$literalExpectation("\u221A",false),peg$c19=function(radicand){return Math.sqrt(radicand);},peg$c20="^",peg$c21=peg$literalExpectation("^",false),peg$c22=function(operand,exponent){return Math.pow(operand,exponent);},peg$c23="sin(",peg$c24=peg$literalExpectation("sin(",false),peg$c25=function(operand){return Math.sin(operand*(Math.PI / 180));},peg$c26="cos(",peg$c27=peg$literalExpectation("cos(",false),peg$c28=function(operand){return operand==90?0:Math.cos(operand*(Math.PI / 180));},peg$c29="tan(",peg$c30=peg$literalExpectation("tan(",false),peg$c31=function(operand){return operand==90?Number.NaN:Math.tan(operand*(Math.PI / 180));},peg$c32="asin(",peg$c33=peg$literalExpectation("asin(",false),peg$c34=function(operand){return Math.asin(operand)/(Math.PI / 180);},peg$c35="acos(",peg$c36=peg$literalExpectation("acos(",false),peg$c37=function(operand){return Math.acos(operand)/(Math.PI / 180);},peg$c38="atan(",peg$c39=peg$literalExpectation("atan(",false),peg$c40=function(operand){return Math.atan(operand)/(Math.PI / 180);},peg$c41="!",peg$c42=peg$literalExpectation("!",false),peg$c43=function(operand){var ret=Number.NaN;if(parseInt(operand)===operand&&operand>=0){ret=1;for(var i=2;i<=operand;i++){ret*=i}} 
 +return ret;},peg$c44="(",peg$c45=peg$literalExpectation("(",false),peg$c46=function(additive){return additive;},peg$c47="\u03C0",peg$c48=peg$literalExpectation("\u03C0",false),peg$c49=function(operand){return operand*Math.PI;},peg$c50=function(){return Math.PI;},peg$c51="e",peg$c52=peg$literalExpectation("e",false),peg$c53=function(operand){return operand*Math.E;},peg$c54=function(){return Math.E;},peg$c55=/^[0-9]/,peg$c56=peg$classExpectation([["0","9"]],false,false),peg$c57=/^[.]/,peg$c58=peg$classExpectation(["."],false,false),peg$c59=function(wholepart,fractionalpart){var ret;if(fractionalpart){ret=parseFloat(wholepart.join("")+"."+fractionalpart[1].join(""));}else{ret=parseInt(wholepart.join(""));} 
 +return ret;},peg$c60=function(fractionalpart){return parseFloat("0."+fractionalpart[1].join(""));},peg$currPos=0,peg$savedPos=0,peg$posDetailsCache=[{line:1,column:1}],peg$maxFailPos=0,peg$maxFailExpected=[],peg$silentFails=0,peg$result;if("startRule"in options){if(!(options.startRule in peg$startRuleFunctions)){throw new Error("Can't start parsing from rule \""+options.startRule+"\".");} 
 +peg$startRuleFunction=peg$startRuleFunctions[options.startRule];} 
 +function text(){return input.substring(peg$savedPos,peg$currPos);} 
 +function location(){return peg$computeLocation(peg$savedPos,peg$currPos);} 
 +function expected(description,location){location=location!==void 0?location:peg$computeLocation(peg$savedPos,peg$currPos) 
 +throw peg$buildStructuredError([peg$otherExpectation(description)],input.substring(peg$savedPos,peg$currPos),location);} 
 +function error(message,location){location=location!==void 0?location:peg$computeLocation(peg$savedPos,peg$currPos) 
 +throw peg$buildSimpleError(message,location);} 
 +function peg$literalExpectation(text,ignoreCase){return{type:"literal",text:text,ignoreCase:ignoreCase};} 
 +function peg$classExpectation(parts,inverted,ignoreCase){return{type:"class",parts:parts,inverted:inverted,ignoreCase:ignoreCase};} 
 +function peg$anyExpectation(){return{type:"any"};} 
 +function peg$endExpectation(){return{type:"end"};} 
 +function peg$otherExpectation(description){return{type:"other",description:description};} 
 +function peg$computePosDetails(pos){var details=peg$posDetailsCache[pos],p;if(details){return details;}else{p=pos-1;while(!peg$posDetailsCache[p]){p--;} 
 +details=peg$posDetailsCache[p];details={line:details.line,column:details.column};while(p<pos){if(input.charCodeAt(p)===10){details.line++;details.column=1;}else{details.column++;} 
 +p++;} 
 +peg$posDetailsCache[pos]=details;return details;}} 
 +function peg$computeLocation(startPos,endPos){var startPosDetails=peg$computePosDetails(startPos),endPosDetails=peg$computePosDetails(endPos);return{start:{offset:startPos,line:startPosDetails.line,column:startPosDetails.column},end:{offset:endPos,line:endPosDetails.line,column:endPosDetails.column}};} 
 +function peg$fail(expected){if(peg$currPos<peg$maxFailPos){return;} 
 +if(peg$currPos>peg$maxFailPos){peg$maxFailPos=peg$currPos;peg$maxFailExpected=[];} 
 +peg$maxFailExpected.push(expected);} 
 +function peg$buildSimpleError(message,location){return new peg$SyntaxError(message,null,null,location);} 
 +function peg$buildStructuredError(expected,found,location){return new peg$SyntaxError(peg$SyntaxError.buildMessage(expected,found),expected,found,location);} 
 +function peg$parsestart(){var s0;s0=peg$parseadditive();return s0;} 
 +function peg$parseadditive(){var s0,s1,s2,s3,s4,s5;s0=peg$currPos;s1=peg$parsemultiplicative();if(s1!==peg$FAILED){s2=[];s3=peg$currPos;if(peg$c0.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c1);}} 
 +if(s4!==peg$FAILED){s5=peg$parsemultiplicative();if(s5!==peg$FAILED){s4=[s4,s5];s3=s4;}else{peg$currPos=s3;s3=peg$FAILED;}}else{peg$currPos=s3;s3=peg$FAILED;} 
 +while(s3!==peg$FAILED){s2.push(s3);s3=peg$currPos;if(peg$c0.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c1);}} 
 +if(s4!==peg$FAILED){s5=peg$parsemultiplicative();if(s5!==peg$FAILED){s4=[s4,s5];s3=s4;}else{peg$currPos=s3;s3=peg$FAILED;}}else{peg$currPos=s3;s3=peg$FAILED;}} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c2(s1,s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsemultiplicative(){var s0,s1,s2,s3,s4,s5;s0=peg$currPos;s1=peg$parsesignedexpression();if(s1!==peg$FAILED){s2=[];s3=peg$currPos;if(peg$c3.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c4);}} 
 +if(s4!==peg$FAILED){s5=peg$parsesignedexpression();if(s5!==peg$FAILED){s4=[s4,s5];s3=s4;}else{peg$currPos=s3;s3=peg$FAILED;}}else{peg$currPos=s3;s3=peg$FAILED;} 
 +if(s3===peg$FAILED){s3=peg$parsetrigonometric();if(s3===peg$FAILED){s3=peg$parsenumberlog();if(s3===peg$FAILED){s3=peg$parsesquareroot();}}} 
 +while(s3!==peg$FAILED){s2.push(s3);s3=peg$currPos;if(peg$c3.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c4);}} 
 +if(s4!==peg$FAILED){s5=peg$parsesignedexpression();if(s5!==peg$FAILED){s4=[s4,s5];s3=s4;}else{peg$currPos=s3;s3=peg$FAILED;}}else{peg$currPos=s3;s3=peg$FAILED;} 
 +if(s3===peg$FAILED){s3=peg$parsetrigonometric();if(s3===peg$FAILED){s3=peg$parsenumberlog();if(s3===peg$FAILED){s3=peg$parsesquareroot();}}}} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c5(s1,s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsesignedexpression(){var s0,s1,s2;s0=peg$currPos;if(peg$c6.test(input.charAt(peg$currPos))){s1=input.charAt(peg$currPos);peg$currPos++;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c7);}} 
 +if(s1===peg$FAILED){s1=null;} 
 +if(s1!==peg$FAILED){s2=peg$parseexpression();if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c8(s1,s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parseexpression(){var s0;s0=peg$parsenumberlog();if(s0===peg$FAILED){s0=peg$parsepowerandroot();if(s0===peg$FAILED){s0=peg$parsetrigonometric();if(s0===peg$FAILED){s0=peg$parsefactorial();if(s0===peg$FAILED){s0=peg$parsenumberpi();if(s0===peg$FAILED){s0=peg$parsenumbere();if(s0===peg$FAILED){s0=peg$parseprimary();}}}}}} 
 +return s0;} 
 +function peg$parsenumberlog(){var s0;s0=peg$parselog10();if(s0===peg$FAILED){s0=peg$parseln();} 
 +return s0;} 
 +function peg$parselog10(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,4)===peg$c9){s1=peg$c9;peg$currPos+=4;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c10);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c13(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parseln(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,3)===peg$c14){s1=peg$c14;peg$currPos+=3;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c15);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c16(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsepowerandroot(){var s0;s0=peg$parsesquareroot();if(s0===peg$FAILED){s0=peg$parsenthpower();} 
 +return s0;} 
 +function peg$parsepowerable(){var s0;s0=peg$parsenumberlog();if(s0===peg$FAILED){s0=peg$parsesquareroot();if(s0===peg$FAILED){s0=peg$parsetrigonometric();if(s0===peg$FAILED){s0=peg$parsefactorial();if(s0===peg$FAILED){s0=peg$parsenumberpi();if(s0===peg$FAILED){s0=peg$parsenumbere();if(s0===peg$FAILED){s0=peg$parseprimary();}}}}}} 
 +return s0;} 
 +function peg$parsesquareroot(){var s0,s1,s2;s0=peg$currPos;if(input.charCodeAt(peg$currPos)===8730){s1=peg$c17;peg$currPos++;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c18);}} 
 +if(s1!==peg$FAILED){s2=peg$parsesignedexpression();if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c19(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsenthpower(){var s0,s1,s2,s3;s0=peg$currPos;s1=peg$parsepowerable();if(s1!==peg$FAILED){if(input.charCodeAt(peg$currPos)===94){s2=peg$c20;peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c21);}} 
 +if(s2!==peg$FAILED){s3=peg$parsesignedexpression();if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c22(s1,s3);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsetrigonometric(){var s0;s0=peg$parsesin();if(s0===peg$FAILED){s0=peg$parsecos();if(s0===peg$FAILED){s0=peg$parsetan();if(s0===peg$FAILED){s0=peg$parsearcsin();if(s0===peg$FAILED){s0=peg$parsearccos();if(s0===peg$FAILED){s0=peg$parsearctan();}}}}} 
 +return s0;} 
 +function peg$parsesin(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,4)===peg$c23){s1=peg$c23;peg$currPos+=4;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c24);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c25(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsecos(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,4)===peg$c26){s1=peg$c26;peg$currPos+=4;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c27);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c28(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsetan(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,4)===peg$c29){s1=peg$c29;peg$currPos+=4;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c30);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c31(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsearcsin(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,5)===peg$c32){s1=peg$c32;peg$currPos+=5;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c33);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c34(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsearccos(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,5)===peg$c35){s1=peg$c35;peg$currPos+=5;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c36);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c37(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsearctan(){var s0,s1,s2,s3;s0=peg$currPos;if(input.substr(peg$currPos,5)===peg$c38){s1=peg$c38;peg$currPos+=5;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c39);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c40(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsefactorial(){var s0,s1,s2;s0=peg$currPos;s1=peg$parseprimary();if(s1!==peg$FAILED){if(input.charCodeAt(peg$currPos)===33){s2=peg$c41;peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c42);}} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c43(s1);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parseprimary(){var s0,s1,s2,s3;s0=peg$parsepi();if(s0===peg$FAILED){s0=peg$parsee();if(s0===peg$FAILED){s0=peg$parsenumber();if(s0===peg$FAILED){s0=peg$currPos;if(input.charCodeAt(peg$currPos)===40){s1=peg$c44;peg$currPos++;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c45);}} 
 +if(s1!==peg$FAILED){s2=peg$parseadditive();if(s2!==peg$FAILED){if(input.charCodeAt(peg$currPos)===41){s3=peg$c11;peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c12);}} 
 +if(s3!==peg$FAILED){peg$savedPos=s0;s1=peg$c46(s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;}}}} 
 +return s0;} 
 +function peg$parsenumberpi(){var s0,s1,s2;s0=peg$currPos;s1=peg$parseprimary();if(s1!==peg$FAILED){if(input.charCodeAt(peg$currPos)===960){s2=peg$c47;peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c48);}} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c49(s1);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsepi(){var s0,s1;s0=peg$currPos;if(input.charCodeAt(peg$currPos)===960){s1=peg$c47;peg$currPos++;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c48);}} 
 +if(s1!==peg$FAILED){peg$savedPos=s0;s1=peg$c50();} 
 +s0=s1;return s0;} 
 +function peg$parsenumbere(){var s0,s1,s2;s0=peg$currPos;s1=peg$parseprimary();if(s1!==peg$FAILED){if(input.charCodeAt(peg$currPos)===101){s2=peg$c51;peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c52);}} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c53(s1);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +return s0;} 
 +function peg$parsee(){var s0,s1;s0=peg$currPos;if(input.charCodeAt(peg$currPos)===101){s1=peg$c51;peg$currPos++;}else{s1=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c52);}} 
 +if(s1!==peg$FAILED){peg$savedPos=s0;s1=peg$c54();} 
 +s0=s1;return s0;} 
 +function peg$parsenumber(){var s0,s1,s2,s3,s4,s5;s0=peg$currPos;s1=[];if(peg$c55.test(input.charAt(peg$currPos))){s2=input.charAt(peg$currPos);peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}} 
 +if(s2!==peg$FAILED){while(s2!==peg$FAILED){s1.push(s2);if(peg$c55.test(input.charAt(peg$currPos))){s2=input.charAt(peg$currPos);peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}}}}else{s1=peg$FAILED;} 
 +if(s1!==peg$FAILED){s2=peg$currPos;if(peg$c57.test(input.charAt(peg$currPos))){s3=input.charAt(peg$currPos);peg$currPos++;}else{s3=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c58);}} 
 +if(s3!==peg$FAILED){s4=[];if(peg$c55.test(input.charAt(peg$currPos))){s5=input.charAt(peg$currPos);peg$currPos++;}else{s5=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}} 
 +if(s5!==peg$FAILED){while(s5!==peg$FAILED){s4.push(s5);if(peg$c55.test(input.charAt(peg$currPos))){s5=input.charAt(peg$currPos);peg$currPos++;}else{s5=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}}}}else{s4=peg$FAILED;} 
 +if(s4!==peg$FAILED){s3=[s3,s4];s2=s3;}else{peg$currPos=s2;s2=peg$FAILED;}}else{peg$currPos=s2;s2=peg$FAILED;} 
 +if(s2===peg$FAILED){s2=null;} 
 +if(s2!==peg$FAILED){peg$savedPos=s0;s1=peg$c59(s1,s2);s0=s1;}else{peg$currPos=s0;s0=peg$FAILED;}}else{peg$currPos=s0;s0=peg$FAILED;} 
 +if(s0===peg$FAILED){s0=peg$currPos;s1=peg$currPos;if(peg$c57.test(input.charAt(peg$currPos))){s2=input.charAt(peg$currPos);peg$currPos++;}else{s2=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c58);}} 
 +if(s2!==peg$FAILED){s3=[];if(peg$c55.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}} 
 +if(s4!==peg$FAILED){while(s4!==peg$FAILED){s3.push(s4);if(peg$c55.test(input.charAt(peg$currPos))){s4=input.charAt(peg$currPos);peg$currPos++;}else{s4=peg$FAILED;if(peg$silentFails===0){peg$fail(peg$c56);}}}}else{s3=peg$FAILED;} 
 +if(s3!==peg$FAILED){s2=[s2,s3];s1=s2;}else{peg$currPos=s1;s1=peg$FAILED;}}else{peg$currPos=s1;s1=peg$FAILED;} 
 +if(s1!==peg$FAILED){peg$savedPos=s0;s1=peg$c60(s1);} 
 +s0=s1;} 
 +return s0;} 
 +peg$result=peg$startRuleFunction();if(peg$result!==peg$FAILED&&peg$currPos===input.length){return peg$result;}else{if(peg$result!==peg$FAILED&&peg$currPos<input.length){peg$fail(peg$endExpectation());} 
 +throw peg$buildStructuredError(peg$maxFailExpected,peg$maxFailPos<input.length?input.charAt(peg$maxFailPos):null,peg$maxFailPos<input.length?peg$computeLocation(peg$maxFailPos,peg$maxFailPos+1):peg$computeLocation(peg$maxFailPos,peg$maxFailPos));}} 
 +return{SyntaxError:peg$SyntaxError,parse:peg$parse};})(); 
 +    </script> 
 +     
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 +     
 +     
 +     
 +     
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 +     
 +     
 +     
 +     
 +    <script type="text/javascript"> 
 +    if(!Element.prototype.matches){Element.prototype.matches=Element.prototype.msMatchesSelector||Element.prototype.webkitMatchesSelector;} 
 +if(!Element.prototype.closest){Element.prototype.closest=function(s){'use strict';var el=this;do{if(el.matches(s)){return el;} 
 +el=el.parentElement||el.parentNode;}while(el!==null&&el.nodeType===1);return null;};} 
 +if(window.NodeList&&!NodeList.prototype.forEach){NodeList.prototype.forEach=function(callback,thisArg){'use strict';thisArg=thisArg||window;for(var i=0;i<this.length;i++){callback.call(thisArg,this[i],i,this);}};} 
 +Number.isInteger=Number.isInteger||function(value){'use strict';return typeof value==='number'&&isFinite(value)&&Math.floor(value)===value;};if(!String.prototype.repeat){String.prototype.repeat=function(count){'use strict';if(this===null){throw new TypeError('can\'t convert '+this+' to object');} 
 +var str=''+this;count=+count;if(count!==count){count=0;} 
 +if(count<0){throw new RangeError('repeat count must be non-negative');} 
 +if(count===Infinity){throw new RangeError('repeat count must be less than infinity');} 
 +count=Math.floor(count);if(str.length===0||count===0){return'';} 
 +if(str.length*count>=Math.pow(2,28)){throw new RangeError('repeat count must not overflow maximum string size');} 
 +var maxCount=str.length*count;count=Math.floor(Math.log(count)/ Math.log(2));while(count){str+=str;count--;} 
 +str+=str.substring(0,maxCount-str.length);return str;};} 
 +if(typeof window.CustomEvent!=='function'){window.CustomEvent=function(eventName,params){'use strict';var bubbles=params.bubbles||false;var cancelable=params.cancelable||false;var detail=params.detail||null;var event=document.createEvent('CustomEvent');event.initCustomEvent(eventName,bubbles,cancelable,detail);return event;};window.CustomEvent.prototype=window.Event.prototype;} 
 +if(!Array.prototype.includes){Array.prototype.includes=function(valueToFind){'use strict';return this.indexOf(valueToFind)!==-1;};} 
 +(function(){'use strict';var answerSaver;var pinger;function MetaMap(){var metaMap={};document.querySelectorAll('meta').forEach(function(meta){if(meta.name in metaMap){if(Array.isArray(metaMap[meta.name])){metaMap[meta.name].push(meta.content);}else{metaMap[meta.name]=[metaMap[meta.name],meta.content,];}}else{metaMap[meta.name]=meta.content;}});this.getString=function(name){return metaMap[name];};this.getBool=function(name){var value=metaMap[name];if(typeof value==='undefined'){return value;} 
 +return value==='true';};this.getInt=function(name){var value=metaMap[name];if(typeof value==='undefined'){return value;} 
 +return parseInt(value,10);};this.getArray=function(name){var value=metaMap[name];if(Array.isArray(value)){return value;}else if(typeof value!=='undefined'){return[value];}else{return[];}};} 
 +var metaMap=new MetaMap();var appPath=metaMap.getString('app-path');var pageId=metaMap.getString('page-id');var isExaminationPage=metaMap.getBool('examination')===true;var isExaminationForm=metaMap.getBool('examination-form')===true;var timerCheckpoint=metaMap.getInt('timer-checkpoint');var timerCountdown=metaMap.getInt('timer-countdown');var timerTitle=metaMap.getString('timer-title');var basetimeStamp=metaMap.getInt('base-timestamp');var tzOffset=metaMap.getInt('tz-offset');function currentTimestampMs(){return basetimeStamp+window.performance.now();} 
 +function getClientTzOffset(){var clientTzOffset=new Date().getTimezoneOffset()*60*1000;return clientTzOffset-tzOffset;} 
 +function timestampToTzCorrectedDate(timestamp){var date=new Date();var tzDiff=getClientTzOffset();date.setTime(timestamp+tzDiff);return date;} 
 +function debounce(fn,delay){var debounceId=0;return function(){var context=this;var args=arguments;clearTimeout(debounceId);debounceId=setTimeout(function(){fn.apply(context,args);},delay);};} 
 +function keyedDebounce(fn,delay){var map=new Map();return function(key){if(map.has(key)){return map.get(key);}else{var debouncedFn=debounce(fn,delay);map.set(key,debouncedFn);return debouncedFn;}};} 
 +function DialogHandler(){this.previouslyActiveElement=null;this.mainContentWrapper=document.getElementById('main-content-wrapper');this.hiddenMessageContainer=document.getElementById('hidden-message-container');this.activeMessageContainer=document.getElementById('active-message-container');this.openDialog=function(dialogName){var dialog=document.getElementById(dialogName);if(dialog.parentNode===this.activeMessageContainer){return;} 
 +dialog.querySelectorAll('form.ajax-submit.processing-error').forEach(function(form){form.classList.remove('processing-error');});dialog.querySelectorAll('form.ajax-submit fieldset.question-item.invalid').forEach(function(form){form.classList.remove('invalid');});if(!dialog.getAttribute('aria-label')){var dialogLabel=dialog.querySelector('.dialog-label');if(dialogLabel){dialog.setAttribute('aria-label',dialogLabel.textContent);}} 
 +var priority=dialog.dataset.messagePriority;var topmostMessage=this.activeMessageContainer.querySelector('div.message-container:last-of-type');if(!topmostMessage){this.previouslyActiveElement=document.activeElement;} 
 +if(priority==='logout'){this.activeMessageContainer.appendChild(dialog);}else if(priority==='urgent'){var loginDialog=this.activeMessageContainer.querySelector('div.message-container[data-message-priority="logout"]');this.activeMessageContainer.insertBefore(dialog,loginDialog);}else if(priority==='background'){var topmostBackgroundMessage=this.activeMessageContainer.querySelector('div.message-container[data-message-priority="background"]:last-of-type');if(topmostBackgroundMessage){if(topmostMessage.dataset.messagePriority==='background'){this.activeMessageContainer.insertBefore(dialog,topmostMessage);}else{this.activeMessageContainer.insertBefore(dialog,topmostBackgroundMessage.nextSibling);}}else{this.activeMessageContainer.insertBefore(dialog,this.activeMessageContainer.firstChild);}}else{var bottommostUrgentMessage=this.activeMessageContainer.querySelector('div.message-container[data-message-priority="urgent"]');this.activeMessageContainer.insertBefore(dialog,bottommostUrgentMessage);} 
 +this.mainContentWrapper.style.visibility='hidden';this.mainContentWrapper.setAttribute('aria-hidden','true');var newTopmostMessage=this.activeMessageContainer.querySelector('div.message-container:last-of-type');if(dialog===newTopmostMessage){var firstFocusable=dialog.querySelector('input, select, button, [tabindex]');if(firstFocusable){firstFocusable.focus();}else{dialog.focus();}}};this.closeDialog=function(dialogName){this.hiddenMessageContainer.appendChild(document.getElementById(dialogName));if(!this.activeMessageContainer.querySelector('div.message-container')){this.mainContentWrapper.style.visibility='visible';this.mainContentWrapper.setAttribute('aria-hidden','false');if(this.previouslyActiveElement){this.previouslyActiveElement.focus();this.previouslyActiveElement=null;}}};this.isOpen=function(dialogName){var dialog=document.getElementById(dialogName);return dialog.parentNode===this.activeMessageContainer;};} 
 +var dialogHandler=new DialogHandler();window.openDialog=function(id){dialogHandler.openDialog(id);};window.closeDialog=function(id){dialogHandler.closeDialog(id);};var REQUEST_KEY_HEADER='Request-Key';var PING_JITTER=1000;var PING_TIMEOUT=20*1000;var PING_DEFAULT_WAIT=10*1000;var PING_NETWORK_ERROR_WAIT=20*1000;var PING_TIMEOUT_WAIT=20*1000;var PING_ABORT_WAIT=10*1000;var PING_FAST_ENOUGH=250;var NETWORK_ERROR_MESSAGE_DELAY=30*1000*2;var NETWORK_ERROR_INTERRUPTION_MESSAGE_DELAY=60*1000*1000;var CHECK_FOCUS_INTERVAL=600;var ANSWER_DELAY=300;var ANSWER_TIMEOUT=PING_TIMEOUT;var ANSWER_RETRY_WAIT=PING_DEFAULT_WAIT;var TEXT_AUTOSAVE_FREQUENCY=30*1000;var TEXT_MODIFICATION_CHECK_DELAY=250;var INLINE_TEXT_AUTOSAVE_DELAY=2*1000;var INLINE_SELECT_AUTOSAVE_DELAY=800;var REQUEST_TIMEOUT=PING_TIMEOUT;var NOTIFICATION_DURATION=10*1000;var FORMULA_SVG_SCALE_FACTOR=1.25;function doRequest(method,path,data,successCallback,errorCallback,csrfToken){var request=new XMLHttpRequest();request.open(method,appPath+path,true);request.timeout=REQUEST_TIMEOUT;request.onload=function(){if(this.status>=200&&this.status<400){successCallback.call(this);}else{errorCallback.call(this,'load');}};request.onerror=function(){errorCallback.call(this,'error');};request.onabort=function(){errorCallback.call(this,'abort');};request.ontimeout=function(){errorCallback.call(this,'timeout');};if(csrfToken){request.setRequestHeader(REQUEST_KEY_HEADER,csrfToken);} 
 +request.send(data);} 
 +function onEvent(eventNames,handlerSelector,targetFilter,handler){if(!Array.isArray(eventNames)){eventNames=[eventNames];} 
 +document.querySelectorAll(handlerSelector).forEach(function(handlerElement){eventNames.forEach(function(eventName){handlerElement.addEventListener(eventName,function(e){if(targetFilter===null){return handler.call(handlerElement,e);}else{var element=e.target;while(element){if(element.matches(targetFilter)){return handler.call(element,e);} 
 +if(element===handlerElement){return;} 
 +element=element.parentElement;}}},true);});});} 
 +function documentReady(fn){if(document.attachEvent?document.readyState==='complete':document.readyState!=='loading'){fn();}else{document.addEventListener('DOMContentLoaded',fn);}} 
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 +function objectKeys(obj){var keys=[];for(var key in obj){if(Object.prototype.hasOwnProperty.call(obj,key)){keys.push(key);}} 
 +return keys;} 
 +function camelToUpper(camelStr){return camelStr.replace(/[\w]([A-Z])/g,function(match){return match[0]+'_'+match[1];}).toUpperCase();} 
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 +this.connectionErrorTimer=null;};this.resetErrors=function(){this.errors={};};this.clockIn=function(){this.requestTimestamp=performance.now();};this.clockOut=function(){this.lastResponseTime=null;if(this.requestTimestamp!==null){this.lastResponseTime=Math.round(performance.now()-this.requestTimestamp);}};this.asPingStatusJson=function(){var pingStatus={errorStatus:[],lastResponseTime:this.lastResponseTime};for(var property in this.errors){if(Object.prototype.hasOwnProperty.call(this.errors,property)&&this.errors[property]===true){pingStatus.errorStatus.push(camelToUpper(property));}} 
 +return JSON.stringify(pingStatus);};} 
 +function checkFocus(pingState){var hasFocus=document.hasFocus();if(!hasFocus){pingState.errors.lostFocus=true;}} 
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 +interleaved.push(parts[parts.length-1]);return interleaved.join('');} 
 +var margin=4;var bezierCurve=width*0.25;if(classList.contains('horizontal')){return d('M?,? L?,?',[margin,margin,width-margin,margin,]);}else if(classList.contains('down')){return d('M?,? C?,? ?,? ?,?',[margin,margin,bezierCurve,margin,width-bezierCurve,height-margin,width-margin,height-margin,]);}else{return d('M?,? C?,? ?,? ?,?',[margin,height-margin,bezierCurve,height-margin,width-bezierCurve,margin,width-margin,margin,]);}} 
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 +svg.appendChild(path);return svg;} 
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 +if(svg){container.appendChild(svg);}} 
 +function getRichTextInputValue(textInput){if(!textInput.matches('.formula-editor')){return textInput.innerHTML;}else{var clone=textInput.cloneNode(true);clone.querySelectorAll('[data-js="mathEditor"]').forEach(function(mathEditor){mathEditor.parentNode.removeChild(mathEditor);});var images=clone.getElementsByTagName('img');while(images.length>0){var image=images[0];var tex=image.alt;if(tex.length>0){var texSource=document.createElement('tex-source');texSource.innerText=tex;image.parentNode.replaceChild(texSource,image);}else{image.parentNode.removeChild(image);}} 
 +var topLevelChild=textInput.firstChild;while(topLevelChild){var nextChild=topLevelChild.nextSibling;if(topLevelChild.tagName==='DIV'&&topLevelChild.childNodes.length===0){topLevelChild.parentNode.removeChild(topLevelChild);} 
 +topLevelChild=nextChild;} 
 +return clone.innerHTML;}} 
 +function isRichTextInput(textInput){return textInput.classList.contains('formula-editor');} 
 +function getTextInputValue(textInput){return isRichTextInput(textInput)?getRichTextInputValue(textInput):textInput.value;} 
 +function getTextInputName(textInput){return textInput.name?textInput.name:textInput.dataset.name;} 
 +function getTextInputMaxLength(textInput){return textInput.maxLength?textInput.maxLength:parseInt(textInput.dataset.maxLength);} 
 +function encodeMultibyteUnicodeCharactersWithEntities(str){return str.replace(/[^\x00-\xFF]/g,function(c){return'&#'+c.charCodeAt(0).toString(10)+';';});} 
 +function scaleSvgLength(value,factor){return value.replace(/^(.+?)([a-z%]*)$/,function(_,value,unit){var scaled=parseFloat(value)*factor;var result=''+scaled+unit;return result;});} 
 +function makeOutputJaxContainer(){var container=document.createElement('div');container.style.visibility='hidden';container.style.position='absolute';container.style.width='0';container.style.height='0';container.innerText='\\({}\\)';return container;} 
 +function jaxContainerToSvgUri(container){var svgElem=container.querySelector('svg');if(svgElem){svgElem=svgElem.cloneNode(true);svgElem.setAttribute('width',scaleSvgLength(svgElem.getAttribute('width'),FORMULA_SVG_SCALE_FACTOR));svgElem.setAttribute('height',scaleSvgLength(svgElem.getAttribute('height'),FORMULA_SVG_SCALE_FACTOR));svgElem.setAttribute('xmlns','http://www.w3.org/2000/svg');svgElem.querySelectorAll('use').forEach(function(useElem){if(!useElem.hasAttribute('xmlns:xlink')){useElem.setAttribute('xmlns:xlink','http://www.w3.org/1999/xlink');}});var svgHtml=svgElem.outerHTML;svgHtml=svgHtml.replace(' xlink=',' xmlns:xlink=');svgHtml=svgHtml.replace(/ ns\d+:href/gi,' xlink:href');return'data:image/svg+xml;base64,'+window.btoa(encodeMultibyteUnicodeCharactersWithEntities(svgHtml));}else{return'data:image/svg+xml;base64,'+window.btoa('<'+'?xml version="1.0" encoding="UTF-8" standalone="no"?>\n'+'<svg width="17px" height="15px" viewBox="0 0 17 15" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">\n'+'<title>Group 2</title>\n'+'<defs></defs>\n'+'<g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd">\n'+'    <g transform="translate(-241.000000, -219.000000)">\n'+'        <g transform="translate(209.000000, 207.000000)">\n'+'            <rect x="-1.58632797e-14" y="0" width="80" height="40"></rect>\n'+'            <g transform="translate(32.000000, 12.000000)">\n'+'                <polygon id="Combined-Shape" fill="#9B0000" fill-rule="nonzero" points="0 15 8.04006 0 16.08012 15"></polygon>\n'+'                <polygon id="Combined-Shape-path" fill="#FFFFFF" points="7 11 9 11 9 13 7 13"></polygon>\n'+'                <polygon id="Combined-Shape-path" fill="#FFFFFF" points="7 5 9 5 9 10 7 10"></polygon>\n'+'            </g>\n'+'        </g>\n'+'    </g>\n'+'</g>\n'+'</svg>');}} 
 +function makeRenderFormulaFunction(){var mathjaxContainer=makeOutputJaxContainer();document.body.appendChild(mathjaxContainer);var outputJaxPromise=new Promise(function(resolve){MathJax.Hub.Queue(['Typeset',MathJax.Hub,mathjaxContainer]);MathJax.Hub.Queue(function(){var outputJax=MathJax.Hub.getAllJax(mathjaxContainer)[0];resolve(outputJax);});});return function(latex,callback){outputJaxPromise.then(function(outputJax){MathJax.Hub.Queue(['Text',outputJax,'\\displaystyle{'+latex+'}']);MathJax.Hub.Queue(function(){callback(jaxContainerToSvgUri(mathjaxContainer));});});};} 
 +function loadAnswerCount(callback){var status={total:0,answered:0,saved:0,unsaved:0};var radioItems={};document.querySelectorAll('fieldset > div.radio > div.input-wrap > input').forEach(function(radio){radioItems[radio.name]=true;if(radio.checked){status.answered++;}});status.total+=Object.keys(radioItems).length;var savedRadioCount=document.querySelectorAll('fieldset > div.radio > div.input-wrap.saved').length;status.saved+=savedRadioCount;var unsavedRadioCount=document.querySelectorAll('fieldset > div.radio > div.input-wrap.saving').length;status.unsaved+=unsavedRadioCount;var checkboxItems={};document.querySelectorAll('fieldset > div.checkboxes > div.input-wrap > input').forEach(function(checkbox){checkboxItems[checkbox.name]=true;});var checkboxesCount=Object.keys(checkboxItems).length;status.total+=checkboxesCount;var checkedboxItems={};document.querySelectorAll('fieldset > div.checkboxes > div.input-wrap.saved > input:checked').forEach(function(checkedbox){checkedboxItems[checkedbox.name]=true;});var savedCheckboxesCount=Object.keys(checkedboxItems).length;status.saved+=savedCheckboxesCount;var connectOptionsCount=document.querySelectorAll('fieldset > div.connect-options').length;status.total+=connectOptionsCount;var connectedConnectOptionsItems={};document.querySelectorAll('fieldset div.connect-options input.connection-input:checked').forEach(function(connectionInput){var connectionElement=document.getElementById(connectionInput.dataset.connectionElementId);if(connectionElement.classList.contains('saved')){connectedConnectOptionsItems[connectionInput.dataset.itemId]=true;}});status.saved+=Object.keys(connectedConnectOptionsItems).length;document.querySelectorAll('fieldset > div.text .text-input').forEach(function(textInput){status.total++;if(textInput.dataset.lastSavedValue&&textInput.dataset.lastSavedValue.length>0){status.saved++;} 
 +if(textInput.dataset.lastSavedValue!==getTextInputValue(textInput).trim()){status.unsaved++;} 
 +if(getTextInputValue(textInput).trim()){status.answered++;}});document.querySelectorAll('.inline-item .text-input').forEach(function(textInput){var inputWrap=textInput.closest('.input-wrap');status.total++;var hasContent=getTextInputValue(textInput).trim().length>0;if(inputWrap.classList.contains('saved')&&hasContent){status.saved++;} 
 +if(inputWrap.classList.contains('saving')){status.unsaved++;} 
 +if(hasContent){status.answered++;}});document.querySelectorAll('.inline-item select').forEach(function(select){var inlineStatus=select.parentNode.querySelector('.inline-status');status.total++;if(inlineStatus.classList.contains('saved')){status.saved++;} 
 +if(inlineStatus.classList.contains('saving')){status.unsaved++;} 
 +if(select.value||select.selectedIndex>0){status.answered++;}});callback(status);} 
 +function updateAnswerCount(callback){loadAnswerCount(function(status){var displayAllNotAnswered=status.answered<status.total;document.querySelectorAll('.all-not-answered').forEach(function(element){element.style.display=displayAllNotAnswered?'':'none';});var displayUnsavedChanges=status.unsaved>0;document.querySelectorAll('.unsaved-answers').forEach(function(element){element.style.display=displayUnsavedChanges?'':'none';});var answerStatusContent=document.getElementById('return-confirmation-answer-status');if(answerStatusContent!==null){var templateText=answerStatusContent.dataset.templateText;answerStatusContent.textContent=templateText.replace('{questions}',status.total).replace('{answers}',status.saved);} 
 +callback();});} 
 +var onloadResizeFunction;documentReady(function(){var enableAutosaving=!!metaMap.getString('answer-key');var connectionCheckOnlyWhenPinging=metaMap.getBool('ping-connection-check-only');pinger={enablePings:!!metaMap.getString('ping-key'),pauseActivatedByPing:false,pingKey:metaMap.getString('ping-key'),currentTimeout:null,eventEndTimeElement:document.querySelector('.event-end-time'),setPingTimeout:function(pingState,timeout){var pinger=this;var jitter=PING_JITTER*2*Math.random()-PING_JITTER;pinger.currentTimeout=setTimeout(function(){pinger.ping(pingState);},timeout+jitter);},ping:function(pingState){if(!this.enablePings){return;} 
 +if(!pingState){pingState=new PingState();setInterval(function(){checkFocus(pingState);},CHECK_FOCUS_INTERVAL);} 
 +var pinger=this;var networkErrorMessage=document.getElementById('network-error-message');var networkErrorOverMessage=document.getElementById('network-error-over-message');var networkInterruptionDialog='network-error';var request=new XMLHttpRequest();request.open('POST',appPath+'/ping',true);request.timeout=PING_TIMEOUT;request.onload=function(){pingState.clockOut();pingState.clearConnectionErrorTimeout();networkErrorMessage.style.display='none';dialogHandler.closeDialog(networkInterruptionDialog);if(pingState.working===false){networkErrorOverMessage.style.display='';}else{networkErrorOverMessage.style.display='none';} 
 +pingState.working=true;if(!pinger.enablePings){return;} 
 +if(this.status>=200&&this.status<400){pinger.setPingTimeout(pingState,PING_DEFAULT_WAIT);pingState.lastSuccessfulPing=currentTimestampMs();pingState.resetErrors();var response=JSON.parse(this.response);if(!connectionCheckOnlyWhenPinging){var setRemainingTime=false;var pauseResponse=response.view.includes('pause');var currentPageIdIsValid=response.view.includes(pageId);if(pauseResponse){if(!pinger.pauseActivatedByPing){setRemainingTime=true;pinger.pauseActivatedByPing=true;dialogHandler.openDialog('paused-examination');document.getElementById('pause-over-message').style.display='none';answerSaver.cancelRetries();}}else{if(pinger.pauseActivatedByPing){setRemainingTime=true;pinger.pauseActivatedByPing=false;dialogHandler.closeDialog('paused-examination');document.getElementById('pause-over-message').style.display='';setTimeout(function(){document.getElementById('pause-over-message').style.display='none';},NOTIFICATION_DURATION);answerSaver.flushAnswers();} 
 +if(isExaminationPage&&response.totalTimeLeft<=0||isExaminationForm&&response.sectionTimeLeft<=0){setRemainingTime=true;if(response.totalTimeLeft<=0){pinger.stopPinging();} 
 +if(!dialogHandler.isOpen('forced-end-examination')){updateAnswerCount(function(){dialogHandler.openDialog('forced-end-examination');});}} 
 +if(pingState.lastResponseTime<PING_FAST_ENOUGH){setRemainingTime=true;} 
 +if(!currentPageIdIsValid){pinger.stopPinging();dialogHandler.openDialog('forced-refresh');window.location.reload();}} 
 +if(setRemainingTime){timerCheckpoint=currentTimestampMs();if(isExaminationForm){timerCountdown=response.sectionTimeLeft;}else{timerCountdown=response.totalTimeLeft;} 
 +if(pinger.eventEndTimeElement){var remainingTime=timestampToTzCorrectedDate(currentTimestampMs()+response.totalTimeLeft*1000+1000);var hours=remainingTime.getHours();var minutes=remainingTime.getMinutes();if(minutes<10){minutes='0'+minutes;} 
 +var time=hours+'.'+minutes;pinger.eventEndTimeElement.textContent=time;}}}}else if(this.status===401){dialogHandler.openDialog('session-invalid');}else if(this.status===409){dialogHandler.openDialog('invalid-page-load-id');}else{pingState.errors.errorStatus=true;pinger.setPingTimeout(pingState,PING_DEFAULT_WAIT);}};request.onerror=function(){if(pingState.working&&pingState.connectionErrorTimer===null){pingState.setConnectionErrorTimeout(function(){networkErrorMessage.style.display='';networkErrorOverMessage.style.display='none';pingState.working=false;pingState.setConnectionErrorTimeout(function(){dialogHandler.openDialog(networkInterruptionDialog);timerCountdown=null;},NETWORK_ERROR_INTERRUPTION_MESSAGE_DELAY-NETWORK_ERROR_MESSAGE_DELAY);},NETWORK_ERROR_MESSAGE_DELAY);} 
 +pingState.errors.connectionError=true;pinger.setPingTimeout(pingState,PING_NETWORK_ERROR_WAIT);};request.onabort=function(){pingState.errors.requestAborted=true;pinger.setPingTimeout(pingState,PING_ABORT_WAIT);};request.ontimeout=function(){pingState.errors.connectionTimeout=true;pinger.setPingTimeout(pingState,PING_TIMEOUT_WAIT);};request.setRequestHeader(REQUEST_KEY_HEADER,pinger.pingKey);pingState.clockIn();request.send(pingState.asPingStatusJson());},stopPinging:function(){if(this.currentTimeout!==null){clearTimeout(this.currentTimeout);} 
 +this.currentTimeout=null;this.enablePings=false;},};if(pinger.enablePings){setTimeout(function(){pinger.ping();},2*1000);} 
 +window.addEventListener('beforeunload',function(event){pinger.stopPinging();delete event.returnValue;});function setFieldsetDisabled(fieldset,disabled){fieldset.querySelectorAll('input, select, button, textarea').forEach(function(element){element.disabled=disabled;});if(disabled){fieldset.classList.add('disabled');fieldset.classList.remove('invalid');}else{fieldset.classList.remove('disabled');}} 
 +var consentQuestionIds=metaMap.getArray('consent-question-id');var agreeAnswerIds=metaMap.getArray('consent-agree-answer-id');function defineConsentSelectionHandler(consentQuestionId){onEvent('change','#'+consentQuestionId,'input',function(){var agreed=false;for(var i=0;i<agreeAnswerIds.length;i++){agreed=agreed||document.querySelector('.form input[value="'+agreeAnswerIds[i]+'"]').checked;} 
 +document.querySelectorAll('.form fieldset.question-item').forEach(function(fieldset){if(consentQuestionIds.indexOf(fieldset.id)!==-1){setFieldsetDisabled(fieldset,false);}else{setFieldsetDisabled(fieldset,!agreed);}});});} 
 +if(consentQuestionIds.length&&agreeAnswerIds.length){document.querySelectorAll('.form fieldset.question-item').forEach(function(fieldset){if(consentQuestionIds.indexOf(fieldset.id)!==-1){setFieldsetDisabled(fieldset,false);}else{setFieldsetDisabled(fieldset,true);}});for(var i=0;i<consentQuestionIds.length;i++){var consentQuestionId=consentQuestionIds[i];defineConsentSelectionHandler(consentQuestionId);}} 
 +function checkRequiredFields(form){var isValid=true;if(form.matches('.require-all-fields')){form.querySelectorAll('fieldset.question-item:not(.disabled)').forEach(function(fieldset){var checkedElement=fieldset.querySelector('input:checked, option:checked');if(!checkedElement||!checkedElement.value){isValid=false;fieldset.classList.add('invalid');}});if(!isValid){form.classList.add('validation-error');return isValid;} 
 +form.classList.remove('validation-error');}else if(form.matches('.require-credentials')){form.querySelectorAll('div.help-text').forEach(function(helpItem){helpItem.style.display='none';});form.querySelectorAll('div.input.credentials input[type=text], div.input.credentials input[type=password]').forEach(function(input){var val=input.value.trim();if(val===''){isValid=false;document.getElementById('error-check-username').style.display='';}});if(!isValid){return isValid;}} 
 +return isValid;} 
 +function createValidationErrorElement(fieldset,htmlContent){if(!htmlContent){return;} 
 +var div=document.createElement('div');div.classList.add('validation-error-message');div.innerHTML=htmlContent;fieldset.insertBefore(div,fieldset.firstChild);} 
 +document.querySelectorAll('form.require-all-fields').forEach(function(form){var formMessage=form.dataset.invalidMessage;form.querySelectorAll('fieldset.question-item').forEach(function(fieldset){createValidationErrorElement(fieldset,fieldset.dataset.invalidMessage||formMessage);});});onEvent('submit','body','form.ajax-submit',function(event){event.preventDefault();var form=this;if(form.classList.contains('processing')){return;} 
 +form.classList.remove('processing-error');if(!checkRequiredFields(form)){return;} 
 +form.classList.add('processing');doRequest('POST',form.getAttribute('action'),new FormData(form),function(){var response=JSON.parse(this.responseText);if(response.location){pinger.stopPinging();window.location.replace(response.location);}else{form.classList.remove('processing');}},function(){form.classList.remove('processing');form.classList.add('processing-error');var event=new CustomEvent('ajax-submit-error',{detail:this});form.dispatchEvent(event);},form.dataset.formKey);});onEvent('change','body','form.require-all-fields input',function(){var form=this.closest('form');form.classList.remove('validation-error');});function AnswerSet(){this.answers={};this.putAnswer=function(answer){var key=answer.itemId;if(answer.subItem2Id){key+='-'+answer.subItemId;} 
 +this.answers[key]=answer;};this.forEach=function(fn){var answers=this.answers;objectKeys(answers).forEach(function(key){fn(answers[key],key);});};this.clone=function(){var answers=this.answers;var clone=new AnswerSet();objectKeys(answers).forEach(function(key){clone.putAnswer(answers[key]);});return clone;};this.diff=function(other){var answers=this.answers;var diff=new AnswerSet();objectKeys(answers).forEach(function(key){var current=answers[key];var otherValue=other.get(key);if(current!==otherValue){diff.putAnswer(current);}});return diff;};this.get=function(key){return this.answers[key];};this.isEmpty=function(){return objectKeys(this.answers).length===0;};} 
 +function AnswerSaver(){var answerKey=metaMap.getString('answer-key');function requestData(answers){var data=[];answers.forEach(function(answer){data.push({itemId:answer.itemId,subItemId:answer.subItemId,subItem2Id:answer.subItem2Id,setValue:answer.setValue,textValue:answer.textValue,timestamp:answer.timestamp,});});return JSON.stringify(data);} 
 +function answerXhr(data,successCallback,errorCallback){var request=new XMLHttpRequest();request.open('POST',appPath+'/answer',true);request.timeout=ANSWER_TIMEOUT;request.onload=function(){if(this.status>=200&&this.status<400){successCallback.call(this);}else{errorCallback.call(this,'load');}};request.onerror=function(){errorCallback.call(this,'error');};request.onabort=function(){errorCallback.call(this,'abort');};request.ontimeout=function(){errorCallback.call(this,'timeout');};request.setRequestHeader(REQUEST_KEY_HEADER,answerKey);request.send(data);} 
 +this.savedTimestamps={};this.awaitingAnswers=new AnswerSet();this.retryTimerId=0;this.save=function(answer){this.awaitingAnswers.putAnswer(answer);this.doAnswerRequest();};this.flushAnswers=function(){if(this.awaitingAnswers.isEmpty()){return;} 
 +this.doAnswerRequest();};this.cancelRetries=function(){if(this.retryTimerId){clearTimeout(this.retryTimerId);} 
 +this.retryTimerId=0;};this.scheduleRetry=function(){var answerSaver=this;answerSaver.cancelRetries();answerSaver.retryTimerId=setTimeout(function(){answerSaver.retryTimerId=0;answerSaver.doAnswerRequest();},ANSWER_RETRY_WAIT);};this.doAnswerRequest=function(){this.cancelRetries();if(this.awaitingAnswers.isEmpty()){return;} 
 +var requestAnswers=this.awaitingAnswers.clone();var data=requestData(requestAnswers);var answerSaver=this;answerXhr(data,function(){var xhr=this;var diff=answerSaver.awaitingAnswers.diff(requestAnswers);answerSaver.awaitingAnswers=diff;requestAnswers.forEach(function(answer,key){var savedTimestamp=answerSaver.savedTimestamps[key];if(typeof savedTimestamp==='undefined'){savedTimestamp=0;} 
 +if(answer.timestamp>savedTimestamp){answer.savedCallBack.call(xhr);answerSaver.savedTimestamps[key]=answer.timestamp;}});if(!answerSaver.awaitingAnswers.isEmpty()){answerSaver.scheduleRetry();}},function(errorType){var retry=false;if(errorType==='load'&&this.status>=400&&this.status<500){if(this.status===401){dialogHandler.openDialog('session-invalid');}else if(this.status===409){dialogHandler.openDialog('invalid-page-load-id');}else if(this.status===429){retry=true;} 
 +if(retry){answerSaver.scheduleRetry();}}else{answerSaver.scheduleRetry();} 
 +requestAnswers.forEach(function(answer,key){if(answer.errorCallback){var savedTimestamp=answerSaver.savedTimestamps[key];if(typeof savedTimestamp==='undefined'){savedTimestamp=0;} 
 +if(answer.timestamp>savedTimestamp){answer.errorCallback.call(this,retry);}}});});};} 
 +answerSaver=new AnswerSaver();function baseSaveAnswer(itemId,options,savedCallBack,errorCallback){answerSaver.save({itemId:itemId,subItemId:options.subItemId,subItem2Id:options.subItem2Id,setValue:options.setValue,textValue:options.textValue,timestamp:Math.round(currentTimestampMs()),savedCallBack:savedCallBack,errorCallback:errorCallback,});} 
 +function makeSaveFunction(delay){var debounced=keyedDebounce(baseSaveAnswer,delay);return function(){debounced(arguments[0]).apply(null,arguments);};} 
 +var saveAnswer=makeSaveFunction(ANSWER_DELAY);var mouseActivatedConnectFromInput=null;onEvent('mouseup','html',null,function(){mouseActivatedConnectFromInput=null;});onEvent('mousedown','.form','.connect-options .connect-options-from-input',function(){mouseActivatedConnectFromInput=this;});function getConnectToContainer(containedElement){return containedElement.closest('.connect-options');} 
 +function switchConnectToOptions(container,connectFromInput){var targetClass;if(connectFromInput&&connectFromInput.checked){targetClass=connectFromInput.dataset.targetClass;}else{targetClass='connect-options-to-default';} 
 +container.querySelectorAll('.connect-options-to, .connection-input').forEach(function(target){var matches=target.matches('.'+targetClass);if(matches){target.classList.add('active');}else{target.classList.remove('active');}});} 
 +function updateContainerActivity(container){var anyFromChecked=container.querySelector('input.connect-options-from-input:checked');if(anyFromChecked){container.classList.add('active');}else{container.classList.remove('active');}} 
 +function clearOtherConnectFromInputs(container,connectFromInput){var referenceId=null;if(connectFromInput){referenceId=connectFromInput.id;} 
 +container.querySelectorAll('.connect-options-from-input').forEach(function(otherInput){var isSame=referenceId===otherInput.id;if(!isSame){otherInput.checked=false;}});updateContainerActivity(container);} 
 +onEvent('change','.form','.connect-options .connect-options-from-input',function(){var container=getConnectToContainer(this);clearOtherConnectFromInputs(container,this);switchConnectToOptions(container,this);});onEvent('focus','.form','.connect-options .connect-options-from-input',function(){if(mouseActivatedConnectFromInput===this){return;} 
 +var container=getConnectToContainer(this);clearOtherConnectFromInputs(container,this);switchConnectToOptions(container,this);});function focusOrChangeAnywhere(e){var targetContainer=getConnectToContainer(e.target);document.querySelectorAll('.form .connect-options').forEach(function(anotherContainer){if(anotherContainer!==targetContainer){clearOtherConnectFromInputs(anotherContainer,null);switchConnectToOptions(anotherContainer,null);anotherContainer.classList.remove('active');}});} 
 +onEvent('focus','html',null,focusOrChangeAnywhere);onEvent('change','html',null,focusOrChangeAnywhere);onEvent('change','.form','.connect-options .connection-input',function(){var connectionInput=this;var fromId=connectionInput.dataset.fromId;var toId=connectionInput.dataset.toId;var container=connectionInput.closest('.connect-options');var connectionElement=document.getElementById(connectionInput.dataset.connectionElementId);var isChecked=connectionInput.checked;if(isChecked){container.querySelectorAll('.connection-input').forEach(function(otherInput){var sameFrom=fromId===otherInput.dataset.fromId;var sameTo=toId===otherInput.dataset.toId;if(sameFrom&&!sameTo||!sameFrom&&sameTo){otherInput.checked=false;var otherConnectionElement=document.getElementById(otherInput.dataset.connectionElementId);setConnectionSvg(otherConnectionElement,null);}});var svg=createConnectionSvg(connectionElement);setConnectionSvg(connectionElement,svg);} 
 +if(enableAutosaving){connectionElement.classList.add('saving');connectionElement.classList.remove('saved');connectionElement.classList.remove('saved-animation');saveAnswer(container.dataset.itemId,{subItemId:connectionInput.dataset.fromId,subItem2Id:connectionInput.dataset.toId,setValue:connectionInput.checked},function(){connectionElement.classList.remove('saving');connectionElement.classList.add('saved');connectionElement.classList.add('saved-animation');if(!isChecked){setConnectionSvg(connectionElement,null);}});}});onEvent('change','.form','.connect-options input',function(){var container=getConnectToContainer(this);updateContainerActivity(container);});function resize(){document.querySelectorAll('.form .connect-options .connection svg').forEach(function(svg){var container=svg.parentNode;if(!container.offsetParent){return;} 
 +var viewBox=svg.getAttribute('viewBox');var width=container.offsetWidth;var height=container.offsetHeight;var referenceBox=svgViewBox(width,height);if(referenceBox!==viewBox){var path=svg.querySelector('path');svg.setAttributeNS(null,'viewBox',referenceBox);path.setAttributeNS(null,'d',svgPathDefinition(width,height,container.classList));}});} 
 +onloadResizeFunction=resize;var resizeTimeoutId=null;window.onresize=function(){if(resizeTimeoutId){clearTimeout(resizeTimeoutId);} 
 +var id=setTimeout(function(){if(id===resizeTimeoutId){resizeTimeoutId=null;} 
 +requestAnimationFrame(resize);},100);resizeTimeoutId=id;};document.querySelectorAll('.form .connect-options input.connection-input:checked').forEach(function(input){var connectionElement=document.getElementById(input.dataset.connectionElementId);var svg=createConnectionSvg(connectionElement);setConnectionSvg(connectionElement,svg);});onEvent('change','.form','.radio input',function(){var fieldset=this.closest('fieldset.question-item');fieldset.classList.remove('invalid');var radio=this;var wrapper=radio.parentNode;var container=radio.closest('fieldset');var allItemButtons=container.querySelectorAll('input');allItemButtons.forEach(function(itemButton){var wrapper=itemButton.parentNode;wrapper.classList.remove('saving');wrapper.classList.remove('saved');wrapper.classList.remove('saved-animation');});if(enableAutosaving){wrapper.classList.add('saving');var deleteItem=fieldset.querySelector('.radio.delete-answer');var deleteInput=deleteItem.querySelector('input');var setValue=radio.dataset.setValue!=='false';deleteInput.value=radio.value;saveAnswer(radio.name,{subItemId:radio.value,subItem2Id:null,setValue:setValue},function(){wrapper.classList.remove('saving');if(radio.checked){wrapper.classList.add('saved');wrapper.classList.add('saved-animation');deleteItem.style.visibility='visible';}});}});onEvent('change','.form','.checkboxes input',function(){this.closest('fieldset.question-item').classList.remove('invalid');var wrapper=this.parentNode;wrapper.classList.remove('saved');wrapper.classList.remove('saved-animation');if(enableAutosaving){wrapper.classList.add('saving');saveAnswer(this.name,{subItemId:this.value,subItem2Id:null,setValue:this.checked},function(){wrapper.classList.remove('saving');wrapper.classList.add('saved');wrapper.classList.add('saved-animation');});}});function stringToDate(dateString){var tzDiff=getClientTzOffset();var date=new Date(dateString);date.setTime(date.getTime()+tzDiff);return date;} 
 +var textInputs=document.querySelectorAll('.form .text .text-input');var textIntevalId=0;function setupTextAutosaveInterval(saveTextCallback){if(textIntevalId){clearInterval(textIntevalId);} 
 +textIntevalId=setInterval(function(){textInputs.forEach(function(textInput){saveTextCallback(textInput);});},TEXT_AUTOSAVE_FREQUENCY);} 
 +function saveText(textInput){var trimmedValue=getTextInputValue(textInput).trim();if(textInput.dataset.lastSavedValue!==trimmedValue){if(trimmedValue.length>getTextInputMaxLength(textInput)){return;} 
 +if(textInput.dataset.valueBeingSaved===trimmedValue){return;} 
 +textInput.dataset.valueBeingSaved=trimmedValue;var container=textInput.closest('div.text');var savedNotificationElement=container.querySelector('.text-saved-notification');var lastSavedElement=container.querySelector('.status .last-saved');container.classList.add('saving');savedNotificationElement.classList.remove('saved-animation');var itemId=getTextInputName(textInput);var setValue=trimmedValue.length>0;saveAnswer(itemId,{textValue:getTextInputValue(textInput),setValue:setValue},function(){delete textInput.dataset.valueBeingSaved;textInput.dataset.lastSavedValue=trimmedValue;container.classList.remove('changed');container.classList.remove('saving');savedNotificationElement.classList.add('saved-animation');var serverDate=stringToDate(this.getResponseHeader('Date'));var hours=serverDate.getHours();var minutes=serverDate.getMinutes();if(minutes<10){minutes='0'+minutes;} 
 +var time=hours+'.'+minutes;lastSavedElement.textContent=lastSavedElement.dataset.template.replace('{time}',time);setupTextAutosaveInterval(saveText);},function(){container.classList.remove('saving');delete textInput.dataset.valueBeingSaved;});}} 
 +function updateLengthInfo(container,textInput,counter,value){var maxLength=getTextInputMaxLength(textInput);var errorMessageId=getTextInputName(textInput)+'-too-long-answer';var errorMessageElement=document.getElementById(errorMessageId);if(value.length>maxLength){container.classList.add('too-long-answer');if(errorMessageElement&&textInput.getAttribute('aria-invalid')!=='true'){textInput.setAttribute('aria-invalid','true');textInput.setAttribute('aria-errormessage',errorMessageId);errorMessageElement.setAttribute('role','alert');}}else{container.classList.remove('too-long-answer');if(errorMessageElement&&textInput.getAttribute('aria-invalid')!=='false'){textInput.setAttribute('aria-invalid','false');textInput.removeAttribute('aria-errormessage');errorMessageElement.removeAttribute('role');}} 
 +if(counter){counter.textContent=counter.dataset.template.replace('{used}',textInput.value.length).replace('{total}',maxLength);}} 
 +onEvent('click','.form','.text button.save-text',function(){var container=this.closest('div.text');var textInput=container.querySelector('.text-input');saveText(textInput);});onEvent(['input','math-input'],'.form','.text .text-input',function(){var textInput=this;if(textInput.tagName==='TEXTAREA'){textInput.parentNode.setAttribute('data-value',textInput.value);} 
 +if(textInput.dataset.checkTimeoutId){return;} 
 +textInput.dataset.checkTimeoutId=setTimeout(function(){delete textInput.dataset.checkTimeoutId;var container=textInput.closest('div.text');var value=getTextInputValue(textInput).trim();if(textInput.dataset.lastSavedValue!==value){container.classList.add('changed');}else{container.classList.remove('changed');} 
 +updateLengthInfo(container,textInput,container.querySelector('.character-count'),value);},TEXT_MODIFICATION_CHECK_DELAY);});textInputs.forEach(function(textInput){var value=getTextInputValue(textInput).trim();textInput.dataset.lastSavedValue=value;var container=textInput.closest('div.text');updateLengthInfo(container,textInput,container.querySelector('.character-count'),value);});if(enableAutosaving&&textInputs.length>0){setupTextAutosaveInterval(saveText);} 
 +onEvent('focus','.form','.inline.select select',function(){var select=this;if(select.value&&!select.dataset.currentValue){select.dataset.currentValue=select.value;}});var saveInlineSelectAnswer=makeSaveFunction(INLINE_SELECT_AUTOSAVE_DELAY);onEvent('change','.form','.inline.select select',function(){var select=this;var oldValue=select.dataset.currentValue;var inlinStatus=select.parentNode.querySelector('.inline-status');inlinStatus.classList.remove('saving');inlinStatus.classList.remove('saved');inlinStatus.classList.remove('saved-animation');if(enableAutosaving){inlinStatus.classList.add('saving');var subItemId=select.value;var setValue=true;if(!subItemId){setValue=false;subItemId=oldValue;if(!subItemId){for(var i=0;i<select.options.length;i++){var candidateValue=select.options[i].value;if(candidateValue){subItemId=candidateValue;break;}}}} 
 +saveInlineSelectAnswer(select.name,{subItemId:subItemId,subItem2Id:null,setValue:setValue},function(){inlinStatus.classList.remove('saving');inlinStatus.classList.add('saved');inlinStatus.classList.add('saved-animation');});} 
 +if(select.options[0].value===''&&select.selectedIndex>0){select.remove(0);} 
 +select.dataset.currentValue=select.options[select.selectedIndex].value;});var saveInlineTextInputAnswer=makeSaveFunction(INLINE_TEXT_AUTOSAVE_DELAY);onEvent('input','.form','.inline.single-line .text-input',function(){var textInput=this;var wrapper=textInput.parentNode;wrapper.classList.remove('saved');wrapper.classList.remove('saved-animation');var savedNotificationElement=wrapper.querySelector('.inline-saved-notification');if(savedNotificationElement){savedNotificationElement.parentNode.removeChild(savedNotificationElement);} 
 +if(enableAutosaving){wrapper.classList.add('saving');var trimmedValue=getTextInputValue(textInput).trim();var setValue=trimmedValue.length>0;saveInlineTextInputAnswer(getTextInputName(textInput),{textValue:getTextInputValue(textInput),setValue:setValue},function(){wrapper.classList.remove('saving');wrapper.classList.add('saved');var savedNotificationElement=document.createElement('DIV');savedNotificationElement.classList.add('saved-animation');savedNotificationElement.classList.add('inline-saved-notification');savedNotificationElement.dataset.savedMessage=wrapper.dataset.savedMessage;wrapper.appendChild(savedNotificationElement);});}});onEvent('click','#active-message-container','div.message-container .close-dialog',function(){var messageContainer=this.closest('div.message-container');dialogHandler.closeDialog(messageContainer.id);});onEvent('click','#logout-button',null,function(){dialogHandler.openDialog('confirm-logout');});onEvent('ajax-submit-error','#login-form',null,function(event){var xhr=event.detail;var status=xhr.status;var errorElement='';if(status===401){errorElement='error-check-username';}else if(status>=400&&status<500){errorElement='error-contact-supervisor';}else if(status>=500&&status<600){errorElement='error-server-failure';}else if(!status){errorElement='error-network-failure';} 
 +document.getElementById(errorElement).style.display='';});onEvent('click','#end-examination-btn',null,function(){if(!dialogHandler.isOpen('end-examination')){updateAnswerCount(function(){dialogHandler.openDialog('end-examination');});}});onEvent('click','.start-examination-button',null,function(event){event.preventDefault();var form=document.getElementById('start-examination-form');form.action=this.dataset.action;form.dataset.formKey=this.dataset.formKey;var question=document.getElementById('confirm-start-examination-question');if(question===null){document.getElementById('confirm-start-examination-btn').click();dialogHandler.openDialog('start-examination');}else{question.textContent=question.dataset.text.replace('{examinationName}',this.dataset.examinationName);dialogHandler.openDialog('start-examination');}});onEvent('submit','#language-choice',null,function(event){event.preventDefault();if(!checkRequiredFields(this)){return;} 
 +var languageInput=this.querySelector('input[name="language"]:checked');if(languageInput){var language=languageInput.value;dialogHandler.openDialog('confirm-language-'+language);}});function getVerticalScroll(){if(window.pageYOffset!==undefined){return window.pageYOffset;}else{var d=document,r=d.documentElement,b=d.body;return r.scrollTop||b.scrollTop||0;}} 
 +var oldVerticalScroll=getVerticalScroll();var topBarTop=0;var topBarWrap=document.querySelector('div.topbar-wrap');if(topBarWrap){topBarTop=topBarWrap.getBoundingClientRect().top;} 
 +var topBarPlaceholder=document.querySelector('div.topbar-placeholder');function resizeTopBarPlaceholder(){if(topBarPlaceholder){topBarPlaceholder.style.height=''+topBarWrap.offsetHeight+'px';}} 
 +resizeTopBarPlaceholder();if(topBarPlaceholder){var scrollThreshold=Math.abs(oldVerticalScroll+topBarTop);if(oldVerticalScroll>scrollThreshold){document.body.classList.add('fixed');} 
 +window.addEventListener('scroll',function(){var verticalScroll=getVerticalScroll();if(oldVerticalScroll>scrollThreshold===verticalScroll>scrollThreshold){return;} 
 +if(verticalScroll>scrollThreshold){document.body.classList.add('fixed');}else{document.body.classList.remove('fixed');} 
 +oldVerticalScroll=verticalScroll;},true);window.addEventListener('resize',function(){resizeTopBarPlaceholder();},true);} 
 +var eTimer;function getRemainingTime(countDown){if(typeof timerCheckpoint==='undefined'){return null;}else{var diff=currentTimestampMs()-timerCheckpoint;return countDown-Math.floor(diff / 1000);}} 
 +var remainingTimeElement=document.getElementById('remaining-time');var remainingTimeTitleElement=document.getElementById('remaining-time-title');function updateTextContent(element,text,callback){if(!element){return;} 
 +if(element.dataset.textContentCache!==text){element.textContent=text;element.dataset.textContentCache=text;if(callback){callback();}}} 
 +function UpdateRemainingTime(){if(typeof timerCheckpoint!=='undefined'&&typeof timerCountdown!=='undefined'&&typeof timerTitle!=='undefined'&&timerCountdown!==null){var timeLeft=getRemainingTime(timerCountdown);if(timerTitle!==null){updateTextContent(remainingTimeTitleElement,timerTitle,resizeTopBarPlaceholder);} 
 +if(timeLeft>60){var text=remainingTimeElement.dataset.templateText.replace('{remainingTime}',Math.ceil(timeLeft / 60));updateTextContent(remainingTimeElement,text,resizeTopBarPlaceholder);}else if(timeLeft>0){updateTextContent(remainingTimeElement,remainingTimeElement.dataset.lessThanMinuteText,resizeTopBarPlaceholder);}else{if(eTimer!==undefined){clearInterval(eTimer);} 
 +updateTextContent(remainingTimeTitleElement,'',resizeTopBarPlaceholder);updateTextContent(remainingTimeElement,'',resizeTopBarPlaceholder);if(!dialogHandler.isOpen('forced-end-examination')){updateAnswerCount(function(){dialogHandler.openDialog('forced-end-examination');});}}}else{updateTextContent(remainingTimeTitleElement,'',resizeTopBarPlaceholder);updateTextContent(remainingTimeElement,'',resizeTopBarPlaceholder);}} 
 +(function(){var PRECISION_DECIMALS_SMALL=7;var PRECISION_DECIMALS_BIG=12;var PRECISION_THRESHOLD=0.01;var AVAILABLE_CLASS_NAME='available';var mem;var ans;function displayNotation(number,addParentheses){var rounded;var precision;if(Math.abs(number)<PRECISION_THRESHOLD){precision=PRECISION_DECIMALS_SMALL;}else{precision=PRECISION_DECIMALS_BIG;} 
 +rounded=parseFloat(number.toPrecision(precision));var match=rounded.toString().match(/([^e]*)e([+-])(\d+)$/);var notation=rounded;if(match===null){notation=parseFloat(notation);}else{var coef=parseFloat(match[1]);var exp=parseInt(match[2]+match[3]);notation=coef+'×10^'+exp;if(addParentheses){notation='('+notation+')';}} 
 +return notation;} 
 +function evaluate(){var expr=document.getElementById('expression').value;expr=expr.replace(/\s/g,'');expr=expr.replace(/–/g,'-');expr=expr.replace(/ANS/g,'('+ans+')');var result=window.mathParser.parse(expr);return result;} 
 +function memoryInActivation(){var memInAvailable=false;if(document.getElementById('expression').value){try{var a=evaluate();if(!isNaN(a)){memInAvailable=true;}}catch(e){memInAvailable=false;}} 
 +if(memInAvailable){document.getElementById('m_in').classList.add(AVAILABLE_CLASS_NAME);}else{document.getElementById('m_in').classList.remove(AVAILABLE_CLASS_NAME);}} 
 +function handleExpressionChange(fillParentheses,posFromEnd){var expression=document.getElementById('expression').value;if(fillParentheses){var missing=0;for(var i=0;i<expression.length;i++){if(expression[i]==='('){missing++;}else if(expression[i]===')'){missing--;} 
 +if(missing<0){break;}} 
 +if(missing>0){expression+=')'.repeat(missing);}} 
 +expression=expression.replace(/([0-9)eÏ€S])([AsctlaeÏ€(√])/g,'$1×$2');expression=expression.replace(/\*/g,'×');expression=expression.replace(/-/g,'–');expression=expression.replace(/\//g,'÷');expression=expression.replace(/,/g,'.');expression=expression.replace(/[^0-9sincotalgeÏ€().+–×÷√^ANS]/g,'');document.getElementById('expression').value=expression;document.getElementById('expression').selectionStart=expression.length-posFromEnd;document.getElementById('expression').selectionEnd=document.getElementById('expression').selectionStart;document.getElementById('expression').focus();memoryInActivation();} 
 +function calculate(){handleExpressionChange(true,0);var result=Number.NaN;try{result=evaluate();ans=displayNotation(result,true);}catch(e){} 
 +if(isNaN(result)){document.getElementById('ans').classList.remove(AVAILABLE_CLASS_NAME);document.getElementById('result').value=document.getElementById('result').dataset.syntaxErrorMessage;}else{document.getElementById('ans').classList.add(AVAILABLE_CLASS_NAME);document.getElementById('result').value=displayNotation(result,false);}} 
 +function toExpression(str){str=str.toString();var pos=document.getElementById('expression').selectionStart;var original=document.getElementById('expression').value;document.getElementById('expression').value=[original.slice(0,pos),str,original.slice(pos)].join('');var posFromEnd=document.getElementById('expression').value.length-pos-str.length;handleExpressionChange(false,posFromEnd);} 
 +onEvent('click','#calc button.key',null,function(){if(this.classList.contains('input')){var content=this.dataset.expression||this.textContent;if(this.dataset.suffix){content+=this.dataset.suffix;} 
 +toExpression(content);}else if(this.id==='m_in'){if(this.classList.contains(AVAILABLE_CLASS_NAME)){try{mem=displayNotation(evaluate(),true);document.getElementById('m_out').classList.add(AVAILABLE_CLASS_NAME);}catch(e){mem=null;document.getElementById('m_out').classList.remove(AVAILABLE_CLASS_NAME);memoryInActivation();}}}else if(this.id==='m_out'){if(this.classList.contains(AVAILABLE_CLASS_NAME)&&mem){toExpression(mem);}}else if(this.id==='ans'){if(this.classList.contains(AVAILABLE_CLASS_NAME)){toExpression('ANS');}}else if(this.id==='delete'){var val=document.getElementById('expression').value;document.getElementById('expression').value=val.substr(0,val.length-1);handleExpressionChange(false,0);}else if(this.id==='clearall'){if(document.getElementById('expression').value===''){document.getElementById('result').value='';}else{document.getElementById('expression').value='';} 
 +memoryInActivation();}else if(this.id==='equals'){calculate();}});onEvent('keyup','#calc','input#expression',function(){var posFromEnd=document.getElementById('expression').value.length-document.getElementById('expression').selectionStart;if(event.which===13||event.keyCode===13){calculate();}else{handleExpressionChange(false,posFromEnd);}});onEvent('click','#calcwrapper','div.calctab',function(){var calcwrapper=document.getElementById('calcwrapper');if(calcwrapper.classList.contains('opened')){calcwrapper.classList.add('closed');calcwrapper.classList.remove('opened');}else{calcwrapper.classList.add('opened');calcwrapper.classList.remove('closed');}});})();(function(){var countdown=document.getElementById('countdown');if(countdown){var countdownInterval;var countdownTarget=metaMap.getInt('countdown-target');var templateText=countdown.dataset.template;var countdownFn=function(){var timeLeft=Math.round((countdownTarget-currentTimestampMs())/ 1000);if(timeLeft<1){clearInterval(countdownInterval);countdown.textContent=countdown.dataset.justAMoment;}else{var seconds=timeLeft%60;timeLeft=Math.floor(timeLeft / 60);var minutes=timeLeft;countdown.textContent=templateText.replace('{minutes}',minutes).replace('{seconds}',seconds);}};countdownInterval=setInterval(countdownFn,1000);countdownFn();}})();onEvent('change','body.login #viewUsername','input',function(e){document.getElementById('username').type=e.target.checked?'text':'password';});onEvent('click','body.login','.language-choice button',function(e){e.preventDefault();var loginContent=document.getElementById('content');loginContent.classList.remove('display-language-fi');loginContent.classList.remove('display-language-sv');loginContent.classList.remove('display-language-en');loginContent.classList.add('display-language-'+this.lang);});if(window.MathJax){var renderFormula=makeRenderFormulaFunction();var renderingFormulaLabel=metaMap.getString('rendering-formula-label');var formulaEditorLanguage=metaMap.getString('formula-editor-language');document.querySelectorAll('.formula-editor').forEach(function(element){var existingFormulas=[];element.querySelectorAll('tex-source').forEach(function(texSource){var initFormula=new Promise(function(resolve){var latex=texSource.innerText;var placeholder=document.createElement('div');placeholder.classList.add('tex-loading');placeholder.textContent=renderingFormulaLabel;texSource.parentNode.replaceChild(placeholder,texSource);renderFormula(latex,function(svg){var img=document.createElement('img');img.src=svg;img.alt=latex;placeholder.parentNode.replaceChild(img,placeholder);resolve();});});existingFormulas.push(initFormula);});onEvent('DOMNodeInserted',`[data-name="${element.dataset.name}"]`,null,function(e){var newElement=e.target;if(newElement.tagName==='SPAN'&&!newElement.closest('div.math-editor')){newElement.replaceWith(...newElement.childNodes);element.normalize();}});Promise.all(existingFormulas).then(function(){makeRichText(element,{baseUrl:'/',updateMathImg:function($img,latex){renderFormula(latex,function(svg){$img.prop({src:svg,alt:latex,});$img.closest('[data-js="answer"]').trigger('input');});},locale:formulaEditorLanguage,},function(){var event=new CustomEvent('math-input',{detail:element});element.dispatchEvent(event);});element.setAttribute('aria-readonly','false');});});} 
 +eTimer=setInterval(UpdateRemainingTime,1000);UpdateRemainingTime();});documentLoaded(function(){var pageIntegrityEnabled=metaMap.getBool('page-integrity')!==false;function hideLoadingNotification(){var loadingElement=document.getElementById('loading-page-content');if(loadingElement&&loadingElement.parentNode){loadingElement.parentNode.removeChild(loadingElement);}} 
 +function reportError(failureType,extraInfo){doRequest('POST','/report-error',JSON.stringify({pageLoadError:failureType,userAgent:window.navigator.userAgent,extraInfo:extraInfo,}),function(){},function(){},null);} 
 +function loadingFailed(failureType,extraInfo){hideLoadingNotification();dialogHandler.openDialog('page-load-failure');extraInfo.preventedPageLoad=true;reportError(failureType,extraInfo);if(pinger){pinger.stopPinging();}} 
 +var pageEndGuard=document.getElementById('page-end-guard');var endGuardOk=pageEndGuard&&pageEndGuard.parentNode===document.body;if(!endGuardOk&&pageIntegrityEnabled){loadingFailed('html-end-guard',{pageEndGuard:pageEndGuard?pageEndGuard.outerHTML:'<no pageEndGuard found>',parent:pageEndGuard&&pageEndGuard.parentNode?pageEndGuard.parentNode.tagName:'<parent node not found>',});return;} 
 +if(typeof document.styleSheets!=='undefined'&&pageIntegrityEnabled){var origin=window.location.origin;var failedStyleSheets=[];var allGuardsOk=true;for(var i=0;i<document.styleSheets.length;i++){var styleSheet=document.styleSheets[i];var href='<unknown href>';try{href=styleSheet.href;if(!href){href='<no href>';} 
 +if(href.substring(0,origin.length)!==origin){continue;} 
 +var foundGuard=false;var lastSelector='<no rules>';for(var j=0;j<styleSheet.cssRules.length;j++){var selector=styleSheet.cssRules[j].selectorText;if(selector==='div.stylesheet-end-guard'){foundGuard=true;break;} 
 +lastSelector=selector;} 
 +if(!foundGuard){allGuardsOk=false;failedStyleSheets.push(href+': no end guard found, last selector is "'+lastSelector+'"');}}catch(e){failedStyleSheets.push(href+': '+(e.message?e.message:'<exception with no message>'));}} 
 +if(!allGuardsOk){loadingFailed('css-end-guard',{failedStyleSheets:failedStyleSheets,});}} 
 +var calculator=document.getElementById('calc-wrapper');if(calculator){if(typeof window.mathParser==='undefined'&&pageIntegrityEnabled){var scripts=[];document.querySelectorAll('script').forEach(function(script){scripts.push(script.src);});loadingFailed('calculator',{scripts:scripts,});return;}} 
 +var mainContentWrapper=document.getElementById('main-content-wrapper');if(mainContentWrapper){mainContentWrapper.style.display='';} 
 +hideLoadingNotification();onloadResizeFunction();});})(); 
 +    </script> 
 +</head>
  
-<font inherit/inherit;;inherit;;transparent>Kuinka kauan tyhjän akun varaaminen kestää, jos oletetaan, että napajännite on vakio 3,6 V koko varaamisen ajan?</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2003 \\ 
-Kuvan 1 kondensaattorisysteemin kapasitanssit ovat Kuva 1. C<sub>1</sub> = 8,30 μF, C<sub>2</sub> = 4,10 μF ja C<sub>3</sub> = 2,10 μF.</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>Laske kondensaattorisysteemin kokonaiskapasitanssi.</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>Välille AB kytketään 110 V jännite. Laske kondensaattorin C<sub>2</sub> varaus ja levyjen välinen jännite.</font> 
  
-  - 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>a) 0,69 Ω, 3,7 V b) 1h 50 min</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>a) 3,55 μF b) Q = 0,26 mC, U = 63 V</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>a) P<sub>rinnan</sub>= 3,46 W b) 1,7 W</font> 
  
-  - 
  
-<font inherit/inherit;;inherit;;transparent>a) 390 Ω b) 3,8 W, 2,5 W</font>+<!-- Calculator begins --> 
 +<div id="calcwrapper" class="show" aria-display="hidden"> 
 +    <div class="calctab open" title="Näytä laskin">laskin</div> 
 +    <div class="calctab close" title="Piilota laskin">&times;</div> 
 +    <div id="calc"> 
 +        <div id="display"> 
 +            <span class="resultbg"> 
 +                <input type="text" name="result" id="result" readonly="readonly" value="" data-syntax-error-message="Tarkista syöte" /> 
 +            </span> 
 +            <input type="text" name="expression" id="expression" /> 
 +        </div>
  
-  -+        <div id="keypad"> 
 +            <div class="keyrow"> 
 +                <button class="key storage" id="m_in">M<sub>in</sub></button> 
 +                <button class="key storage" id="m_out">M<sub>out</sub></button> 
 +                <button class="key storage" id="ans">ANS</button> 
 +                <button class="key input logarithm" data-suffix="(">log</button> 
 +                <button class="key input logarithm" data-suffix="(">ln</button> 
 +            </div> 
 +            <div class="keyrow"> 
 +                <button class="key input trigonometry" data-suffix="(">sin</button> 
 +                <button class="key input trigonometry" data-suffix="(">cos</button> 
 +                <button class="key input trigonometry" data-suffix="(">tan</button> 
 +                <button class="key input power" data-expression="&Hat;2"><span class="lettersymbol">x</span><sup>2</sup></button> 
 +                <button class="key input power">&radic;</button> 
 +            </div>
  
-<font inherit/inherit;;inherit;;transparent>a) 0,85 μF b) 1,4 V, 3,0 μC</font>+            <div class="keyrow"> 
 +                <button class="key input trigonometry" data-expression="asin(">sin<sup>-1</sup></button> 
 +                <button class="key input trigonometry" data-expression="acos(">cos<sup>-1</sup></button> 
 +                <button class="key input trigonometry" data-expression="atan(">tan<sup>-1</sup></button> 
 +                <button class="key input power" data-expression="&times;10&Hat;">&times;10<sup class="lettersymbol">x</sup></button> 
 +                <button class="key input power lettersymbol" data-expression="&Hat;">x<sup>y</sup></button> 
 +            </div>
  
-  -+            <div class="keyrow"> 
 +                <button class="key input number">1</button> 
 +                <button class="key input number">2</button> 
 +                <button class="key input number">3</button> 
 +                <button class="key input parenthesis">(</button> 
 +                <button class="key input parenthesis">)</button> 
 +            </div>
  
-<font inherit/inherit;;inherit;;transparent>a) s b) p c) s d) s e) p f) s</font>+            <div class="keyrow"> 
 +                <button class="key input number">4</button> 
 +                <button class="key input number">5</button> 
 +                <button class="key input number">6</button> 
 +                <button class="key input arithmetics">+</button> 
 +                <button class="key input arithmetics">&#8211;</button> 
 +            </div>
  
-  -+            <div class="keyrow"> 
 +                <button class="key input number">7</button> 
 +                <button class="key input number">8</button> 
 +                <button class="key input number">9</button> 
 +                <button class="key input arithmetics">&times;</button> 
 +                <button class="key input arithmetics">&divide;</button> 
 +            </div>
  
-<font inherit/inherit;;inherit;;transparent>a) 1,8 W b) 0,81 W</font> 
  
-  -+            <div class="keyrow"> 
 +                <button class="key input number">.</button> 
 +                <button class="key input number">0</button> 
 +                <button class="key input number" data-expression="&#8211;">(-)</button> 
 +                <button class="key input number lettersymbol">&pi;</button> 
 +                <button class="key input number lettersymbol">e</button> 
 +            </div>
  
-<font inherit/inherit;;inherit;;transparent>b) 49 A</font>+            <div class="keyrow"> 
 +                <button class="key delete" id="delete">&#x232b;</button> 
 +                <button class="key delete" id="clearall">AC</button> 
 +                <div class="nokey"></div> 
 +                <div class="nokey"></div> 
 +                <button class="key equals" id="equals">=</button> 
 +            </div>
  
-  -+        </div> 
 +    </div> 
 +</div> 
 +<!-- Calculator ends --></html>
  
-<font inherit/inherit;;inherit;;transparent>b) 1700 V/m c) 0,67 m/s</font>+{{statdisplay>all}}
  
-  -+{{statdisplay>all?graph}}
  
-<font inherit/inherit;;inherit;;transparent>a) 22 nC b) 85 m/s<sup>2</sup> c) 0,022 s</font>+{{statdisplay>all?graph Jan_2019 Dec_2019}}
  
-  -+{{statdisplay>one month}}
  
-<font inherit/inherit;;inherit;;transparent>a) 421 J b) 53,9 mF</font>+{{statdisplay>month by day}} 
  
-  -+{{statdisplay>month by day?graph Oct_2019}}
  
-<font inherit/inherit;;inherit;;transparent>a) 44,5 Ω b) 11,5 V</font> +{{statdisplay>month by hour}}
- +
-  - +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2004 \\ +
-Kaksi hehkulamppua, joiden resistanssit ovat R<sub>1</sub> = R<sub>2</sub> = 1,3 Ω, kytketään paristoon, jonka napajännite on U = 1,5 V. Oleta, että lamppujen resistanssit ja pariston napajännite ovat vakioita.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Perustele, miten hehkulamput on kytkettävä pariston kanssa, jotta ne palavat mahdollisimman kirkkaasti. Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske tehohäviö toisessa hehkulampuista, kun lampun kirkkaus on mahdollisimman suuri.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2006 \\ +
-Sähkökynttelikössä on seitsemän sarjaan kytkettyä hehkulamppua. Kunkin lampun nimellisjännite on 34 V ja nimellisteho 3,0 W.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske yhden lampun resistanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Lampuista kolme rikkoutuu ja ne korvataan erehdyksessä vääränlaisilla lampuilla, joiden nimellisjännite on 34 V ja nimellisteho 4,5 W. Kynttelikkö kytketään 230 V:n sähköverkkoon. Laske kunkin alkuperäisen sekä kunkin uuden lampun nyt kuluttama teho.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2007 \\ +
-Kolme kondensaattoria, joiden kapasitanssit ovat C<sub>1</sub> = 1,0 μF, C<sub>2</sub> = 2,2 μF ja C<sub>3</sub> = 3,3 μF, on kytketty jännitelähteeseen U = 9,0 V oheisen kytkentäkaavion mukaan.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kytkennän kokonaiskapasitanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kondensaattorin C<sub>2</sub> jännite ja varaus.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2008 \\ +
-Oheisessa kytkennässä kolme identtistä hehkulamppua on sarjassa pariston kanssa. Mitä tapahtuu seuraaville suureille, kun kytkin S suljetaan (vastaa vain, suurenee (s), pienenee (p) tai ei muutu (e))</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lamppujen A ja B kirkkaudet</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lampun C kirkkaus</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>paristosta otettu virta</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun A yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun C yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>tehohäviö piirissä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2009 \\ +
-Taskulampun jännitelähteenä käytetään kolmea paristoa, joista kunkin lähdejännite on 1,5 V ja sisäinen resistanssi 0,93 Ω. Polttimon resistanssi on 2,1 Ω.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään sarjaan? Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään rinnan? Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2010 \\ +
-Auton lähes tyhjentyneellä akulla on lähdejännitettä jäljellä 11,4 V. Akku on kytketty auton käynnistysmoottoriin, jonka resistanssi on 0,21 Ω. Jotta auto saadaan käynnistettyä, akun napoihin kytketään toinen akku, jonka lähdejännite on 12,7 V. Molempien akkujen sisäinen resistanssi on 7,0 · 10<sup>−2</sup> Ω.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä käynnistysmoottorin läpi kulkeva virta kahta akkua käytettäessä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2012 \\ +
-Levykondensaattori on kytketty tasajännitelähteeseen, jonka jännite U = 51 V. Kondensaattorin levyjen välimatka on d = 3,0 cm. Positiivisesti varattu pölyhiukkanen, jonka varaus Q = 48 pC ja massa m = 11 μg, liikkuu levyjen välisessä sähkökentässä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkennästä kuva, josta ilmenee tasajännitteen napaisuus, kondensaattorilevyjen välillä olevan sähkökentän suunta, sekä pölyhiukkasen kiihtyvyys.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske sähkökentän voimakkuus levyjen välissä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos pölyhiukkanen on irronnut toiselta levyltä, niin millä nopeudella se törmää toiseen levyyn?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2013 \\ +
-Kapasitanssilla kuvataan lähes aina kondensaattorien kykyä varastoida sähkövarausta, vaikka kapasitanssi voidaan määrittää mille tahansa systeemille, joka voi varastoida sähkövarausta. Esineen varautuminen lasketaan kondensaattorin tavoin, mikäli tiedetään esineen kyky varastoida sähkövarausta, eli esineen kapasitanssi.</font> +
- +
-<font inherit/inherit;;inherit;;transparent>Pieni foliopallo, jonka massa on m = 52 mg, kimpoilee edestakaisin kahden levyn välissä. Levyn 1 potentiaali on U<sub>1</sub> = + 2,0 kV ja levyn 2 potentiaali on U<sub>2</sub> = −2,0 kV. Levyjen välinen etäisyys on d = 2,0 cm. Foliopallon kapasitanssi on C = 11 pF. Ethän ota painovoimaa etkä ilmanvastusta huomioon.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon varaus, kun se varautuu levyllä 1?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon kiihtyvyys levyjen 1 ja 2 välissä?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka pitkä aika foliopallolla kuluu matkaan levyltä 1 levylle 2?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kameran salamavaloissa käytetään kondensaattoreita salamavalon vaatiman suuren virran synnyttämiseksi. Valokuvaa ottaessa salamavalo palaa 1/675 s keskiteholla 270 kW.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos kondensaattoriin varastoituneesta energiasta 95 % saadaan valoksi, paljonko energiaa kondensaattoriin täytyy varastoida ennen kuvan ottoa?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kun kondensaattoriin on varastoitunut tarvittava määrä energiaa (a-kohta), kondensaattorin levyjen välinen jännite on 125 V. Kuinka suuri kapasitanssi kondensaattorilla tulee olla?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2016 \\ +
-Oheisessa kytkentäkaaviossa virtamittarin ja jännitemittarin sisäiset resistanssit ovat R<sub>A</sub> = 1,70 Ω ja R<sub>V</sub> = 1,00 kΩ. Jännitelähteellä E ei ole sisäistä resistanssia.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kytkennässä virtamittarin lukema on 0,260 A ja jännitemittarin lukema on 12,0 V. Kuinka suuri on vastuksen R resistanssi?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä kun kytkentää muutetaan siten, että jännitemittari mittaa vastuksessa R tapahtuvaa jännitehäviötä ja virtamittari mittaa jännitelähteen E läpi kulkevaa sähkövirtaa. Tällöin virtamittarin lukema on 0,271 A. Kuinka suuri jännitemittarin lukema?</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2003 \\ +
-Kuvan 1 kondensaattorisysteemin kapasitanssit ovat Kuva 1. C<sub>1</sub> = 8,30 μF, C<sub>2</sub> = 4,10 μF ja C<sub>3</sub> = 2,10 μF.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske kondensaattorisysteemin kokonaiskapasitanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Välille AB kytketään 110 V jännite. Laske kondensaattorin C<sub>2</sub> varaus ja levyjen välinen jännite.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2004 \\ +
-Kaksi hehkulamppua, joiden resistanssit ovat R<sub>1</sub> = R<sub>2</sub> = 1,3 Ω, kytketään paristoon, jonka napajännite on U = 1,5 V. Oleta, että lamppujen resistanssit ja pariston napajännite ovat vakioita.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Perustele, miten hehkulamput on kytkettävä pariston kanssa, jotta ne palavat mahdollisimman kirkkaasti. Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske tehohäviö toisessa hehkulampuista, kun lampun kirkkaus on mahdollisimman suuri.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2006 \\ +
-Sähkökynttelikössä on seitsemän sarjaan kytkettyä hehkulamppua. Kunkin lampun nimellisjännite on 34 V ja nimellisteho 3,0 W.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske yhden lampun resistanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Lampuista kolme rikkoutuu ja ne korvataan erehdyksessä vääränlaisilla lampuilla, joiden nimellisjännite on 34 V ja nimellisteho 4,5 W. Kynttelikkö kytketään 230 V:n sähköverkkoon. Laske kunkin alkuperäisen sekä kunkin uuden lampun nyt kuluttama teho.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2007 \\ +
-Kolme kondensaattoria, joiden kapasitanssit ovat C<sub>1</sub> = 1,0 μF, C<sub>2</sub> = 2,2 μF ja C<sub>3</sub> = 3,3 μF, on kytketty jännitelähteeseen U = 9,0 V oheisen kytkentäkaavion mukaan.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kytkennän kokonaiskapasitanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kondensaattorin C<sub>2</sub> jännite ja varaus.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2008 \\ +
-Oheisessa kytkennässä kolme identtistä hehkulamppua on sarjassa pariston kanssa. Mitä tapahtuu seuraaville suureille, kun kytkin S suljetaan (vastaa vain, suurenee (s), pienenee (p) tai ei muutu (e))</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lamppujen A ja B kirkkaudet</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lampun C kirkkaus</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>paristosta otettu virta</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun A yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun C yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>tehohäviö piirissä.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2009 \\ +
-Taskulampun jännitelähteenä käytetään kolmea paristoa, joista kunkin lähdejännite on 1,5 V ja sisäinen resistanssi 0,93 Ω. Polttimon resistanssi on 2,1 Ω.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään sarjaan? Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään rinnan? Piirrä kytkentä.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2010 \\ +
-Auton lähes tyhjentyneellä akulla on lähdejännitettä jäljellä 11,4 V. Akku on kytketty auton käynnistysmoottoriin, jonka resistanssi on 0,21 Ω. Jotta auto saadaan käynnistettyä, akun napoihin kytketään toinen akku, jonka lähdejännite on 12,7 V. Molempien akkujen sisäinen resistanssi on 7,0 · 10<sup>−2</sup> Ω.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä käynnistysmoottorin läpi kulkeva virta kahta akkua käytettäessä.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2012 \\ +
-Levykondensaattori on kytketty tasajännitelähteeseen, jonka jännite U = 51 V. Kondensaattorin levyjen välimatka on d = 3,0 cm. Positiivisesti varattu pölyhiukkanen, jonka varaus Q = 48 pC ja massa m = 11 μg, liikkuu levyjen välisessä sähkökentässä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkennästä kuva, josta ilmenee tasajännitteen napaisuus, kondensaattorilevyjen välillä olevan sähkökentän suunta, sekä pölyhiukkasen kiihtyvyys.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske sähkökentän voimakkuus levyjen välissä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos pölyhiukkanen on irronnut toiselta levyltä, niin millä nopeudella se törmää toiseen levyyn?</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>**Sähkön etäviikkotehtäviä 2019**</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2002 \\ +
-Matkapuhelimen akussa on merkinnät 670 mAh ja 3,6 V ja laturissa merkintä 1,3 W. Kun akusta otettiin vastuksen kautta 53,5 mA:n virta, niin akun napajännite oli 3,66 V. Kun virta oli 126 mA, niin napajännite oli 3,61 V.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske akun sisäresistanssi ja lähdejännite.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka kauan tyhjän akun varaaminen kestää, jos oletetaan, että napajännite on vakio 3,6 V koko varaamisen ajan?</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2003 \\ +
-Kuvan 1 kondensaattorisysteemin kapasitanssit ovat Kuva 1. C<sub>1</sub> = 8,30 μF, C<sub>2</sub> = 4,10 μF ja C<sub>3</sub> = 2,10 μF.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske kondensaattorisysteemin kokonaiskapasitanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Välille AB kytketään 110 V jännite. Laske kondensaattorin C<sub>2</sub> varaus ja levyjen välinen jännite.</font> +
- +
-  * +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 0,69 Ω, 3,7 V b) 1h 50 min</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 3,55 μF b) Q = 0,26 mC, U = 63 V</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) P<sub>rinnan</sub>= 3,46 W b) 1,7 W</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 390 Ω b) 3,8 W, 2,5 W</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 0,85 μF b) 1,4 V, 3,0 μC</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) s b) p c) s d) s e) p f) s</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 1,8 W b) 0,81 W</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>b) 49 A</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>b) 1700 V/m c) 0,67 m/s</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 22 nC b) 85 m/s<sup>2</sup> c) 0,022 s</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 421 J b) 53,9 mF</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>a) 44,5 Ω b) 11,5 V</font> +
- +
-  * +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2004 \\ +
-Kaksi hehkulamppua, joiden resistanssit ovat R<sub>1</sub> = R<sub>2</sub> = 1,3 Ω, kytketään paristoon, jonka napajännite on U = 1,5 V. Oleta, että lamppujen resistanssit ja pariston napajännite ovat vakioita.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Perustele, miten hehkulamput on kytkettävä pariston kanssa, jotta ne palavat mahdollisimman kirkkaasti. Piirrä kytkentä.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske tehohäviö toisessa hehkulampuista, kun lampun kirkkaus on mahdollisimman suuri.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2006 \\ +
-Sähkökynttelikössä on seitsemän sarjaan kytkettyä hehkulamppua. Kunkin lampun nimellisjännite on 34 V ja nimellisteho 3,0 W.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske yhden lampun resistanssi.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Lampuista kolme rikkoutuu ja ne korvataan erehdyksessä vääränlaisilla lampuilla, joiden nimellisjännite on 34 V ja nimellisteho 4,5 W. Kynttelikkö kytketään 230 V:n sähköverkkoon. Laske kunkin alkuperäisen sekä kunkin uuden lampun nyt kuluttama teho.</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2007 \\ +
-Kolme kondensaattoria, joiden kapasitanssit ovat C<sub>1</sub> = 1,0 μF, C<sub>2</sub> = 2,2 μF ja C<sub>3</sub> = 3,3 μF, on kytketty jännitelähteeseen U = 9,0 V oheisen kytkentäkaavion mukaan.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kytkennän kokonaiskapasitanssi.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä kondensaattorin C<sub>2</sub> jännite ja varaus.</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2008 \\ +
-Oheisessa kytkennässä kolme identtistä hehkulamppua on sarjassa pariston kanssa. Mitä tapahtuu seuraaville suureille, kun kytkin S suljetaan (vastaa vain, suurenee (s), pienenee (p) tai ei muutu (e))</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lamppujen A ja B kirkkaudet</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>lampun C kirkkaus</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>paristosta otettu virta</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun A yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>jännitehäviö lampun C yli</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>tehohäviö piirissä.</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2009 \\ +
-Taskulampun jännitelähteenä käytetään kolmea paristoa, joista kunkin lähdejännite on 1,5 V ja sisäinen resistanssi 0,93 Ω. Polttimon resistanssi on 2,1 Ω.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään sarjaan? Piirrä kytkentä.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään rinnan? Piirrä kytkentä.</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2010 \\ +
-Auton lähes tyhjentyneellä akulla on lähdejännitettä jäljellä 11,4 V. Akku on kytketty auton käynnistysmoottoriin, jonka resistanssi on 0,21 Ω. Jotta auto saadaan käynnistettyä, akun napoihin kytketään toinen akku, jonka lähdejännite on 12,7 V. Molempien akkujen sisäinen resistanssi on 7,0 · 10<sup>−2</sup> Ω.</font> +
- +
-  - +
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-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Määritä käynnistysmoottorin läpi kulkeva virta kahta akkua käytettäessä.</font> +
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-  * +
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-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2012 \\ +
-Levykondensaattori on kytketty tasajännitelähteeseen, jonka jännite U = 51 V. Kondensaattorin levyjen välimatka on d = 3,0 cm. Positiivisesti varattu pölyhiukkanen, jonka varaus Q = 48 pC ja massa m = 11 μg, liikkuu levyjen välisessä sähkökentässä.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkennästä kuva, josta ilmenee tasajännitteen napaisuus, kondensaattorilevyjen välillä olevan sähkökentän suunta, sekä pölyhiukkasen kiihtyvyys.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Laske sähkökentän voimakkuus levyjen välissä.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos pölyhiukkanen on irronnut toiselta levyltä, niin millä nopeudella se törmää toiseen levyyn?</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2013 \\ +
-Kapasitanssilla kuvataan lähes aina kondensaattorien kykyä varastoida sähkövarausta, vaikka kapasitanssi voidaan määrittää mille tahansa systeemille, joka voi varastoida sähkövarausta. Esineen varautuminen lasketaan kondensaattorin tavoin, mikäli tiedetään esineen kyky varastoida sähkövarausta, eli esineen kapasitanssi.</font> +
- +
-<font inherit/inherit;;inherit;;transparent>Pieni foliopallo, jonka massa on m = 52 mg, kimpoilee edestakaisin kahden levyn välissä. Levyn 1 potentiaali on U<sub>1</sub> = + 2,0 kV ja levyn 2 potentiaali on U<sub>2</sub> = −2,0 kV. Levyjen välinen etäisyys on d = 2,0 cm. Foliopallon kapasitanssi on C = 11 pF. Ethän ota painovoimaa etkä ilmanvastusta huomioon.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon varaus, kun se varautuu levyllä 1?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon kiihtyvyys levyjen 1 ja 2 välissä?</font> +
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-  - +
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-<font inherit/inherit;;inherit;;transparent>Kuinka pitkä aika foliopallolla kuluu matkaan levyltä 1 levylle 2?</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>Kameran salamavaloissa käytetään kondensaattoreita salamavalon vaatiman suuren virran synnyttämiseksi. Valokuvaa ottaessa salamavalo palaa 1/675 s keskiteholla 270 kW.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos kondensaattoriin varastoituneesta energiasta 95 % saadaan valoksi, paljonko energiaa kondensaattoriin täytyy varastoida ennen kuvan ottoa?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kun kondensaattoriin on varastoitunut tarvittava määrä energiaa (a-kohta), kondensaattorin levyjen välinen jännite on 125 V. Kuinka suuri kapasitanssi kondensaattorilla tulee olla?</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2016 \\ +
-Oheisessa kytkentäkaaviossa virtamittarin ja jännitemittarin sisäiset resistanssit ovat R<sub>A</sub> = 1,70 Ω ja R<sub>V</sub> = 1,00 kΩ. Jännitelähteellä E ei ole sisäistä resistanssia.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kytkennässä virtamittarin lukema on 0,260 A ja jännitemittarin lukema on 12,0 V. Kuinka suuri on vastuksen R resistanssi?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä kun kytkentää muutetaan siten, että jännitemittari mittaa vastuksessa R tapahtuvaa jännitehäviötä ja virtamittari mittaa jännitelähteen E läpi kulkevaa sähkövirtaa. Tällöin virtamittarin lukema on 0,271 A. Kuinka suuri jännitemittarin lukema?</font> +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2013 \\ +
-Kapasitanssilla kuvataan lähes aina kondensaattorien kykyä varastoida sähkövarausta, vaikka kapasitanssi voidaan määrittää mille tahansa systeemille, joka voi varastoida sähkövarausta. Esineen varautuminen lasketaan kondensaattorin tavoin, mikäli tiedetään esineen kyky varastoida sähkövarausta, eli esineen kapasitanssi.</font> +
- +
-<font inherit/inherit;;inherit;;transparent>Pieni foliopallo, jonka massa on m = 52 mg, kimpoilee edestakaisin kahden levyn välissä. Levyn 1 potentiaali on U<sub>1</sub> = + 2,0 kV ja levyn 2 potentiaali on U<sub>2</sub> = −2,0 kV. Levyjen välinen etäisyys on d = 2,0 cm. Foliopallon kapasitanssi on C = 11 pF. Ethän ota painovoimaa etkä ilmanvastusta huomioon.</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon varaus, kun se varautuu levyllä 1?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka suuri on foliopallon kiihtyvyys levyjen 1 ja 2 välissä?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kuinka pitkä aika foliopallolla kuluu matkaan levyltä 1 levylle 2?</font> +
- +
-  * +
- +
-<font inherit/inherit;;inherit;;transparent>Kameran salamavaloissa käytetään kondensaattoreita salamavalon vaatiman suuren virran synnyttämiseksi. Valokuvaa ottaessa salamavalo palaa 1/675 s keskiteholla 270 kW.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Jos kondensaattoriin varastoituneesta energiasta 95 % saadaan valoksi, paljonko energiaa kondensaattoriin täytyy varastoida ennen kuvan ottoa?</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kun kondensaattoriin on varastoitunut tarvittava määrä energiaa (a-kohta), kondensaattorin levyjen välinen jännite on 125 V. Kuinka suuri kapasitanssi kondensaattorilla tulee olla?</font> +
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-  * +
- +
-<font inherit/inherit;;inherit;;transparent>DI-valintakoe 2016 \\ +
-Oheisessa kytkentäkaaviossa virtamittarin ja jännitemittarin sisäiset resistanssit ovat R<sub>A</sub> = 1,70 Ω ja R<sub>V</sub> = 1,00 kΩ. Jännitelähteellä E ei ole sisäistä resistanssia.</font> +
- +
-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Kytkennässä virtamittarin lukema on 0,260 A ja jännitemittarin lukema on 12,0 V. Kuinka suuri on vastuksen R resistanssi?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>Piirrä kytkentä kun kytkentää muutetaan siten, että jännitemittari mittaa vastuksessa R tapahtuvaa jännitehäviötä ja virtamittari mittaa jännitelähteen E läpi kulkevaa sähkövirtaa. Tällöin virtamittarin lukema on 0,271 A. Kuinka suuri jännitemittarin lukema?</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>a) 0,69 Ω, 3,7 V b) 1h 50 min</font> +
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-  - +
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-<font inherit/inherit;;inherit;;transparent>a) 3,55 μF b) Q = 0,26 mC, U = 63 V</font> +
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-<font inherit/inherit;;inherit;;transparent>a) P<sub>rinnan</sub>= 3,46 W b) 1,7 W</font> +
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-<font inherit/inherit;;inherit;;transparent>a) 390 Ω b) 3,8 W, 2,5 W</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>a) 0,85 μF b) 1,4 V, 3,0 μC</font> +
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-<font inherit/inherit;;inherit;;transparent>a) s b) p c) s d) s e) p f) s</font> +
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-<font inherit/inherit;;inherit;;transparent>a) 1,8 W b) 0,81 W</font> +
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-<font inherit/inherit;;inherit;;transparent>b) 49 A</font> +
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-  - +
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-<font inherit/inherit;;inherit;;transparent>b) 1700 V/m c) 0,67 m/s</font> +
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-<font inherit/inherit;;inherit;;transparent>a) 22 nC b) 85 m/s<sup>2</sup> c) 0,022 s</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>a) 421 J b) 53,9 mF</font> +
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-  - +
- +
-<font inherit/inherit;;inherit;;transparent>a) 44,5 Ω b) 11,5 V</font>+
  
 +{{statdisplay>user agents}}