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For such a circuit:\")]),_vm._m(0),_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('v-img',{attrs:{\"contain\":\"\",\"src\":\"assets/series.png\",\"max-height\":\"350px\",\"max-width\":\"350px\",\"width\":\"400px\"}})],1),_c('h3',{ref:\"iat\"},[_vm._v(\"\\n    Resistors Connected in Series\\n  \")]),_c('p',[_vm._v(\"The resistors are said to be connected in series when the current flows through the resistors sequentially. Consider an electric circuit comprising of \\\\(n\\\\) resistors \\\\(R_1\\\\), \\\\(R_2\\\\), ..., \\\\(R_n\\\\) connected in series. For such a circuit:\")]),_vm._m(1),_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('v-img',{attrs:{\"contain\":\"\",\"src\":\"assets/parallel.png\",\"max-height\":\"400px\",\"max-width\":\"400px\",\"width\":\"400px\"}})],1),_c('h3',{ref:\"playgraph\"},[_vm._v(\"\\n    MagicGraph - Equivalent Resistance Calculator\\n  \")]),_c('p',[_vm._v(\"This MagicGraph offers students a unique artificially intelligent-visually interactive assistant using which students can:\")]),_vm._m(2),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_c('h3',[_vm._v(\"Equivalent Resistance\")]),_vm._v(\"\\n      The equivalent resistance of the circuit is given as: $$\\\\frac{1}{R_{eq}} = \\\\frac{1}{R_1} + \\\\frac{1}{R_2}+ ... + \\\\frac{1}{R_n}$$\\n    \")]),_c('li',[_c('h3',[_vm._v(\"Total Current\")]),_vm._v(\"\\n      The total current flowing through the circuit is given as: $$I = \\\\frac{V}{R_{eq}} = \\\\frac{V}{R_1} + \\\\frac{V}{R_2}+ ... + \\\\frac{V}{R_n}$$\\n    \")]),_c('li',[_c('h3',[_vm._v(\"Voltage Drop\")]),_vm._v(\"\\n      The voltage drop across a given resistor (say \\\\(R_i\\\\)) in the circuit is given as: $$V_i = I_i R_i = V $$\\n    \")])])\n},function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_c('h3',[_vm._v(\"Equivalent Resistance\")]),_vm._v(\"\\n      The equivalent resistance of the circuit is given as: $$ R_{eq} = R_1 + R_2 + ... + R_n$$\\n    \")]),_c('li',[_c('h3',[_vm._v(\"Net Current\")]),_vm._v(\"\\n      The current flowing through the circuit is given as: $$I = \\\\frac{V}{R_{eq}} = \\\\frac{V}{R_1 + R_2 + ... + R_n}$$\\n    \")]),_c('li',[_c('h3',[_vm._v(\"Voltage Drop\")]),_vm._v(\"\\n      The voltage drop across a given resistor (say \\\\(R_i\\\\)) in the circuit is given as: $$V_i = I R_i = V \\\\frac{R_i}{R_{eq}}$$\\n    \")])])\n},function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_vm._v(\"configure an electric circuit of any complexity (series, parallel, or mixed).\")]),_c('li',[_vm._v(\"find the equivalent resistance of the circuit.\")]),_c('li',[_vm._v(\"determine the current circulating in the circuit.\")]),_c('li',[_vm._v(\"calculate the voltage drop across each resistor.\")])])\n}]\n\nexport { render, staticRenderFns }","const Boxes = {\r\n  box1: function () {\r\n          var brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-10, 10, 10, -10],keepaspectratio: true, axis:true, ticks:{visible:false}, grid:true, showCopyright:false, showNavigation:false, pan:{enabled:false}, zoom:{enabled:false}});\r\n\t\tbrd1.options.layer['image'] =14;\r\n\t\tbrd1.create('text', [-8, 9., '<b> Right-Angled Triangle <b>'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('image', ['/assets/Plato.svg', [-9, -7],[2, 2]], {opacity:1, fixed:true});\r\n\t\tvar PtO =brd1.create('point', [0, 0],{name:'<b>O</b>', face:'square',size:3, strokeColor:'black', snapToGrid:true, fixed:false, fillColor:'yellow',label:{CssStyle:'fontFamily:Oswald',offset:[0,20], fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tvar PtA =brd1.create('point', [5, 0],{name:'A', face:'square',size:3, strokeColor:'black',snapToGrid:true, fillColor:'yellow', label:{CssStyle:'fontFamily:Oswald', offset:[5,-10],fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tvar PtB =brd1.create('point', [6, 6],{name:'B', face:'circle',size:3, strokeColor:'black', fillColor:'yellow',snapToGrid:true, fixed:false, label:{CssStyle:'fontFamily:Oswald', offset:[0,20],fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tbrd1.create('polygon', [PtO, PtA, PtB],{borders:{strokeColor:'black', strokeWidth:3}});\r\n\t\tvar a=brd1.create('angle', [PtA, PtO, PtB],{name:function(){return '&alpha; ='+ (JXG.Math.Geometry.angle(PtA, PtO, PtB)*180/Math.PI).toFixed(2)},visible:true, radius:1,label:{CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tvar b =brd1.create('angle', [PtB, PtA, PtO],{name:function(){return '&beta; ='+ (JXG.Math.Geometry.angle(PtB, PtA, PtO)*180/Math.PI).toFixed(2)},visible:true, radius:1,label:{CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tvar c = brd1.create('angle', [PtO, PtB, PtA],{name:function(){return '&gamma; ='+ (JXG.Math.Geometry.angle(PtO, PtB, PtA)*180/Math.PI).toFixed(2)},visible:true, radius:1,label:{CssStyle:'fontFamily:Oswald', fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}}});\r\n\t\tvar OA = function(){return JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtA.X(),PtA.Y()])}\r\n\t\tvar OB = function(){return JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtB.X(),PtB.Y()])}\r\n\t\tvar AB = function(){return JXG.Math.Geometry.distance([PtA.X(), PtA.Y()], [PtB.X(),PtB.Y()])}\r\n\t\tvar i = function(){if(OA() == Math.max(OA(), OB(), AB())){return 'Sum of the Square of Other Two Sides OB^2 + AB^2 = '+ (OB()*OB()+AB()*AB()).toFixed(2)}else if(OB() == Math.max(OA(), OB(), AB())){return 'Sum of the Square of Other Two Sides OA^2 + AB^2 = '+  (OA()*OA()+AB()*AB()).toFixed(2)} else{return 'Sum of the Square of Other Two Sides OA^2 + OB^2 = '+ (OB()*OB()+OA()*OA()).toFixed(2)}};\r\n\t\tvar j = function(){if(OA() == Math.max(OA(), OB(), AB())){return 'Square of the Longest Side OA^2 = '+ (OA()*OA()).toFixed(2)}else if(OB() == Math.max(OA(), OB(), AB())){return 'Square of the Longest Side OB^2 = '+  (OB()*OB()).toFixed(2)} else{return 'Square of the Longest Side AB^2 = '+ (AB()*AB()).toFixed(2)}};\r\n//var j = function(){if(OB() == Math.max(OA(), OB(), AB())){return 1}else{return 0}};\r\n//var k = function(){if(AB() == Math.max(OA(), OB(), AB())){return 1}else{return 0}};\r\n\t\tbrd1.create('text', [function(){return (PtA.X()+PtO.X())*0.5+0.5;},function(){return (PtA.Y()+PtO.Y())*0.5+0.5;},function(){return ''+(JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtA.X(),PtA.Y()])).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [function(){return (PtO.X()+PtB.X())*0.5-1.0;},function(){return (PtO.Y()+PtB.Y())*0.5+0.5;},function(){return ''+(JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtB.X(),PtB.Y()])).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [function(){return (PtA.X()+PtB.X())*0.5+0.5;},function(){return (PtA.Y()+PtB.Y())*0.5+0.5;},function(){return ''+(JXG.Math.Geometry.distance([PtA.X(), PtA.Y()], [PtB.X(),PtB.Y()])).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(10*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [-7, -5, 'Yup! That\\'s a right triangle.'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}, visible:function(){if(a.Value()==Math.PI/2 || b.Value()==Math.PI/2 ||c.Value()==Math.PI/2 ){return true} else{return false}}});\r\n\t\tbrd1.create('text', [-7, -5,  'Nope! That\\'s not a right triangle.'],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)},visible:function(){if(a.Value()==Math.PI/2||b.Value()==Math.PI/2 || c.Value()==Math.PI/2){return false} else{return true}}});\r\n\t\tbrd1.create('text', [-9, -2, function(){return 'OA^2 = '+Math.pow(JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtA.X(),PtA.Y()]), 2).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [-6, -2, function(){return 'OB^2 = '+Math.pow(JXG.Math.Geometry.distance([PtO.X(), PtO.Y()], [PtB.X(),PtB.Y()]), 2).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [-3, -2, function(){return 'AB^2 = '+Math.pow(JXG.Math.Geometry.distance([PtA.X(), PtA.Y()], [PtB.X(),PtB.Y()]), 2).toFixed(2)}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [-9, -3, function(){return j()}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n\t\tbrd1.create('text', [-9, -4, function(){return i()}],{CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(12*brd1.canvasWidth/500.)}});\r\n    }\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"ia\">\n      What is a resistor?\n    </h3>\r\n    <p>A resistor is an ohmic device that resists the flow of charge (i.e. current) through an electric circuit. Since a resistor is an ohmic device, the voltage drop across a resistor is linearly related to the current flowing through it. $$ V = I R $$ where \\(V\\) is the voltage across the resistor, \\(I \\) is the resulting flow of current through the resistor, and \\(R\\) is the electric resistance of the resistor.</p>\r\n    <h3 ref=\"ca\">\n      Resistors in Parallel\n    </h3>\r\n    <p>Two resistors are said to be connected in parallel when one ends of the resistors are all together tied to one end of voltage source and the other ends are all tied together to the other end of the voltage source. Thus, each resistor experiences same voltage drop across it. For such a circuit:</p>\r\n    <ul style=\"list-style-type: square;\">\r\n      <li>\r\n        <h3>Equivalent Resistance</h3>\r\n        The equivalent resistance of the circuit is given as: $$\\frac{1}{R_{eq}} = \\frac{1}{R_1} + \\frac{1}{R_2}+ ... + \\frac{1}{R_n}$$\n      </li>\r\n      <li>\r\n        <h3>Total Current</h3>\r\n        The total current flowing through the circuit is given as: $$I = \\frac{V}{R_{eq}} = \\frac{V}{R_1} + \\frac{V}{R_2}+ ... + \\frac{V}{R_n}$$\n      </li>\r\n      <li>\r\n        <h3>Voltage Drop</h3>\r\n        The voltage drop across a given resistor (say \\(R_i\\)) in the circuit is given as: $$V_i = I_i R_i = V $$\n      </li>\r\n    </ul>\r\n    <v-layout justify-center=\"\">\n      <v-img contain=\"\"\n             src=\"assets/series.png\"\n             max-height=\"350px\"\n             max-width=\"350px\"\n             width=\"400px\"\n      />\n    </v-layout>\r\n    <h3 ref=\"iat\">\n      Resistors Connected in Series\n    </h3>\r\n    <p>The resistors are said to be connected in series when the current flows through the resistors sequentially. Consider an electric circuit comprising of \\(n\\) resistors \\(R_1\\), \\(R_2\\), ..., \\(R_n\\) connected in series. For such a circuit:</p>\r\n    <ul style=\"list-style-type: square;\">\r\n      <li>\r\n        <h3>Equivalent Resistance</h3>\r\n        The equivalent resistance of the circuit is given as: $$ R_{eq} = R_1 + R_2 + ... + R_n$$\n      </li>\r\n      <li>\r\n        <h3>Net Current</h3>\r\n        The current flowing through the circuit is given as: $$I = \\frac{V}{R_{eq}} = \\frac{V}{R_1 + R_2 + ... + R_n}$$\n      </li>\r\n      <li>\r\n        <h3>Voltage Drop</h3>\r\n        The voltage drop across a given resistor (say \\(R_i\\)) in the circuit is given as: $$V_i = I R_i = V \\frac{R_i}{R_{eq}}$$\n      </li>\r\n    </ul>\r\n    <v-layout justify-center=\"\">\n      <v-img contain=\"\"\n             src=\"assets/parallel.png\"\n             max-height=\"400px\"\n             max-width=\"400px\"\n             width=\"400px\"\n      />\n    </v-layout>\r\n    <h3 ref=\"playgraph\">\n      MagicGraph - Equivalent Resistance Calculator\n    </h3>\r\n    <p>This MagicGraph offers students a unique artificially intelligent-visually interactive assistant using which students can:</p>\r\n    <ul style=\"list-style-type: square;\">\r\n      <li>configure an electric circuit of any complexity (series, parallel, or mixed).</li>\r\n      <li>find the equivalent resistance of the circuit.</li>\r\n      <li>determine the current circulating in the circuit.</li>\r\n      <li>calculate the voltage drop across each resistor.</li>\r\n    </ul>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'Resistors',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Fundamentals of Trigonometry';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Resistor', img:'assets/number-1.svg', action: () => this.goto('ia')},\r\n      {title: 'Resistors Connected in Parallel', img:'assets/number-2.svg', action: () => this.goto('ca')},\r\n      {title: 'Resistors Connected in Series', img:'assets/number-3.svg', action: () => this.goto('iat')},\r\n      {title: 'Graphical Interpretation',img:'assets/touch.svg', action: () => this.goto('graphical')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  metaInfo() {\r\n  return{ title: 'Basic Trigonometry',\r\n          titleTemplate: '%s - Learn interactively',\r\n          meta: [ {name: 'viewport', content: 'width=device-width, initial-scale=1'},\r\n                  {name: 'description', content: 'Learn interactively how to draw a free body diagram'}\r\n                ]\r\n        }\r\n   },\r\n}\r\n</script>\r\n<style lang=\"scss\">\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/subtopic-menu.scss';\r\n@import 'src/styles/edliy-box-about.scss';\r\n@import 'src/styles/screen-sizes.scss';\r\n</style>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=dff9c768&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=dff9c768&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports"],"sourceRoot":""}