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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 11:58] – harriplayground:playground [07/11/2022 21:28] (nykyinen) – harri
Rivi 1: Rivi 1:
-====== Sähkön etäviikkotehtäviä 2019 ======+<html> 
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-=== otsikko3 === 
  
-== otsikko2 == 
  
-**Headline** 
  
-1. 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. 
  
-a) Laske akun sisäresistanssi ja lähdejännite.\\ 
-b) Kuinka kauan tyhjän akun varaaminen kestää, jos oletetaan, että napajännite on vakio 3,6 V koko varaamisen ajan? 
  
-2. DI-valintakoe 2003 
  
-Kuvan 1 kondensaattorisysteemin kapasitanssit ovat Kuva 1. C1 = 8,30 μF, C2 = 4,10 μF ja C3 = 2,10 μF.+    <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;} 
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 +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);}};} 
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 +var str=''+this;count=+count;if(count!==count){count=0;} 
 +if(count<0){throw new RangeError('repeat count must be non-negative');} 
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 +str+=str.substring(0,maxCount-str.length);return str;};} 
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 +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[];}};} 
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 +function getClientTzOffset(){var clientTzOffset=new Date().getTimezoneOffset()*60*1000;return clientTzOffset-tzOffset;} 
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 +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;};} 
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 +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;});}} 
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 +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;} 
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 +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;} 
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 +</head>
  
-a) Laske kondensaattorisysteemin kokonaiskapasitanssi.\\ 
-b) Välille AB kytketään 110 V jännite. Laske kondensaattorin C2 varaus ja levyjen välinen jännite.\\ 
-\\ 
-3. DI-valintakoe 2004 
  
-Kaksi hehkulamppua, joiden resistanssit ovat R1 = R2 = 1,3 Ω, kytketään paristoon, jonka napajännite on U = 1,5 V. Oleta, että lamppujen resistanssit ja pariston napajännite ovat vakioita. 
  
-a) Perustele, miten hehkulamput on kytkettävä pariston kanssa, jotta ne palavat mahdollisimman kirkkaasti. Piirrä kytkentä.\\ 
-b) Laske tehohäviö toisessa hehkulampuista, kun lampun kirkkaus on mahdollisimman suuri. 
  
-4. DI-valintakoe 2006\\ 
-\\ 
-Sähkökynttelikössä on seitsemän sarjaan kytkettyä hehkulamppua. Kunkin lampun nimellisjännite on 34 V ja nimellisteho 3,0 W. 
  
-a) Laske yhden lampun resistanssi.\\ 
-b) 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. 
  
-5. DI-valintakoe 2007 
  
-Kolme kondensaattoria, joiden kapasitanssit ovat C1 = 1,0 μF, C2 = 2,2 μF ja C3 = 3,3 μF, on kytketty jännitelähteeseen U = 9,0 V oheisen kytkentäkaavion mukaan. 
  
-a) Määritä kytkennän kokonaiskapasitanssi.\\ 
-b) Määritä kondensaattorin C2 jännite ja varaus. 
  
-6. 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)) 
  
-a) lamppujen A ja B kirkkaudet\\ 
-b) lampun C kirkkaus\\ 
-c) paristosta otettu virta\\ 
-d) jännitehäviö lampun A yli\\ 
-e) jännitehäviö lampun C yli\\ 
-f) tehohäviö piirissä. 
  
-7. 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. 
  
-a) Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään sarjaan? Piirrä kytkentä.\\ 
-b) Kuinka suuri on polttimossa kuluva teho, kun paristot kytketään rinnan? Piirrä kytkentä. 
  
-8. 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 · 10−2 Ω.+<!-- 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>
  
-a) Piirrä kytkentä\\ +        <div id="keypad"> 
-b) Määritä käynnistysmoottorin läpi kulkeva virta kahta akkua käytettäessä.+            <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>
  
-9. DI-valintakoe 2012+            <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>
  
-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.+            <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>
  
-a) Piirrä kytkennästä kuva, josta ilmenee tasajännitteen napaisuus, kondensaattorilevyjen välillä olevan sähkökentän suunta, sekä pölyhiukkasen kiihtyvyys.\\ +            <div class="keyrow"> 
-b) Laske sähkökentän voimakkuus levyjen välissä.\\ +                <button class="key input number">4</button> 
-c) Jos pölyhiukkanen on irronnut toiselta levyltä, niin millä nopeudella se törmää toiseen levyyn?+                <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>
  
-10. DI-valintakoe 2013+            <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>
  
-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. 
  
-Pieni foliopallo, jonka massa on m = 52 mg, kimpoilee edestakaisin kahden levyn välissä. Levyn 1 potentiaali on U1 = + 2,0 kV ja levyn 2 potentiaali on U2 = −2,0 kV. Levyjen välinen etäisyys on d = 2,0 cm. Foliopallon kapasitanssi on C = 11 pF. Ethän ota painovoimaa etkä ilmanvastusta huomioon.\\ +            <div class="keyrow"> 
-a) Kuinka suuri on foliopallon varaus, kun se varautuu levyllä 1?\\ +                <button class="key input number">.</button> 
-b) Kuinka suuri on foliopallon kiihtyvyys levyjen 1 ja 2 välissä?\\ +                <button class="key input number">0</button> 
-c) Kuinka pitkä aika foliopallolla kuluu matkaan levyltä 1 levylle 2?+                <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>
  
-11. Kameran salamavaloissa käytetään kondensaattoreita salamavalon vaatiman suuren virran synnyttämiseksi. Valokuvaa ottaessa salamavalo palaa 1/675 s keskiteholla 270 kW.\\ +            <div class="keyrow"> 
-a) Jos kondensaattoriin varastoituneesta energiasta 95 % saadaan valoksi, paljonko energiaa kondensaattoriin täytyy varastoida ennen kuvan ottoa?\\ +                <button class="key delete" id="delete">&#x232b;</button> 
-b) Kun kondensaattoriin on varastoitunut tarvittava määrä energiaa (a-kohta), kondensaattorin levyjen välinen jännite on 125 V. Kuinka suuri kapasitanssi kondensaattorilla tulee olla?+                <button class="key delete" id="clearall">AC</button> 
 +                <div class="nokey"></div> 
 +                <div class="nokey"></div> 
 +                <button class="key equals" id="equals">=</button> 
 +            </div>
  
-12. DI-valintakoe 2016+        </div> 
 +    </div> 
 +</div> 
 +<!-- Calculator ends --></html>
  
-Oheisessa kytkentäkaaviossa virtamittarin ja jännitemittarin sisäiset resistanssit ovat RA = 1,70 Ω ja RV = 1,00 kΩ. Jännitelähteellä E ei ole sisäistä resistanssia.+{{statdisplay>all}}
  
-a) Kytkennässä virtamittarin lukema on 0,260 A ja jännitemittarin lukema on 12,0 V. Kuinka suuri on vastuksen R resistanssi?\\ +{{statdisplay>all?graph}}
-b) 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?+
  
-1. a) 0,69 Ω, 3,7 V b) 1h 50 min\\ +{{statdisplay>all?graph Jan_2019 Dec_2019}}
-2. a) 3,55 μF b) Q = 0,26 mC, U = 63 V\\ +
-3. a) Prinnan = 3,46 W b) 1,7 W\\ +
-4. a) 390 Ω b) 3,8 W, 2,5 W\\ +
-5. a) 0,85 μF b) 1,4 V, 3,0 μC\\ +
-6. a) s b) p c) s d) s e) p f) s\\ +
-7. a) 1,8 W b) 0,81 W\\ +
-8. b) 49 A\\ +
-9. b) 1700 V/m c) 0,67 m/s\\ +
-10. a) 22 nC b) 85 m/s2 c) 0,022 s\\ +
-11. a) 421 J b) 53,9 mF\\ +
-12. a) 44,5 Ω b) 11,5 V+
  
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 +{{statdisplay>month by day?graph Oct_2019}}
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