{"id":28066,"date":"2019-10-30T16:00:26","date_gmt":"2019-10-30T10:30:26","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=28066"},"modified":"2019-10-31T17:32:57","modified_gmt":"2019-10-31T12:02:57","slug":"current-electricity-chapter-1-extra-questions-for-class-12-physics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/current-electricity-chapter-1-extra-questions-for-class-12-physics\/","title":{"rendered":"Current Electricity Chapter 3 Extra Questions for Class 12 Physics"},"content":{"rendered":"<p><strong>Current Electricity Chapter 3 Extra Questions for Class 12 Physics. <\/strong>We know Physics is tough subject within the consortium of science subjects physics is an important subject. But if you want to make career in these fields like IT Consultant, Lab Technician, Laser Engineer, Optical Engineer etc. You need to have strong fundamentals in physics to crack the exam.<strong>\u00a0<\/strong>myCBSEguide has just released Chapter Wise Question Answers for class 12 Physics. There chapter wise Extra Questions with complete solutions are available for download in\u00a0<strong><a href=\"https:\/\/mycbseguide.com\/\">myCBSEguide<\/a>\u00a0<\/strong>website and mobile app. These Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Physics Extra Questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Board Exam. We have taken care of every single concept given in\u00a0<strong><a href=\"https:\/\/mycbseguide.com\/course\/cbse-class-12-physics\/1251\/\">CBSE Class 12 Physics syllabus<\/a><\/strong> and questions are framed as per the latest marking scheme and blue print issued by CBSE for class 12.<\/p>\n<div class=\"row\">\n<div class=\"col-md-12\">\n<div class=\"card\">\n<p style=\"text-align: center;\"><strong>Class 12 Physics Extra Questions<\/strong><\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/dashboard\/category\/1254\/type\/4\">Download as PDF<\/a><\/strong><\/p>\n<h2>Chapter 3 Class 12 Physics Important Questions<\/h2>\n<p style=\"text-align: center;\"><strong>Class &#8211; 12 Physics (Current Electricity)<\/strong><\/p>\n<hr \/>\n<ol style=\"padding-left: 20px;\">\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<p>An ammeter together with an unknown resistance in series is connected across two identical batteries each of emf 1.5 V. When the batteries are connected in series, the galvanometer records a current of 1A and when the batteries are in parallel, the current is 0.6A. What is the internal resistance of each battery?<\/p>\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li><span class=\"mcq_option_text\"><span class=\"math-tex\">{tex}{1 \\over 5}\\Omega {\/tex}<\/span><\/span><\/li>\n<li><span class=\"mcq_option_text\"><span class=\"math-tex\">{tex}{1 \\over 3}\\Omega {\/tex}<\/span><\/span><\/li>\n<li><span class=\"mcq_option_text\"><span class=\"math-tex\">{tex}{1 \\over 4}\\Omega {\/tex}<\/span><\/span><\/li>\n<li><span class=\"mcq_option_text\"><span class=\"math-tex\">{tex}{1 \\over 2}\\Omega {\/tex}<\/span><\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<p>The resistance of a metallic conductor increases due to<\/p>\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>Change in dimensions of the conductor<\/li>\n<li>Change in carrier density<\/li>\n<li>Increase in the number of collisions between the carriers<\/li>\n<li>Increase in the rate of collisions between the carriers and vibrating atoms of the conductor<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<p>In the figure, when an ideal voltmeter is connected across 4000 ohm resistance, it reads 30 volts. If the voltmeter is connected across 3000 ohms resistance. It will read<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 206px; height: 100px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/quiz\/12\/physics\/1850_0.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"287\" height=\"139\" \/><\/p>\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>22.5 volt<\/li>\n<li>40 volt<\/li>\n<li>35 volt<\/li>\n<li>20 volt<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<p>The wire of the potentiometer has resistance 4 ohms and length 1 m. It is connected to a cell of e.m.f. 2 volts and internal resistance 1 ohm. The p.d. across the potentiometer wire is:<\/p>\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>1.2 V<\/li>\n<li><span class=\"mcq_option_text\">1.6 V<\/span><\/li>\n<li>0.8 V<\/li>\n<li>2.0 V<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<p>According to Kirchhoff\u2019s Loop Rule<\/p>\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>The absolute sum of changes in potential around any closed loop must be zero.<\/li>\n<li>The algebraic sum of changes in potential around any closed loop must be zero.<\/li>\n<li><span class=\"mcq_option_text\">The algebraic sum of changes in potential around any closed loop must be positive.<\/span><\/li>\n<li>The algebraic sum of changes in potential around any closed loop must be negative.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">Plot a graph showing a variation of current versus voltage for the material GaAs.<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">I-V graph for a metallic wire at two different temperatures T<sub>1<\/sub> and T<sub>2<\/sub> is as shown in the figure below. Which of the two temperature is lower and why?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 91px; height: 96px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/7h4hgum.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"91\" height=\"96\" data-imgur-src=\"7h4hgum.png\" \/><\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">Two conducting wires X and Y of same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice than that in Y, then find the ratio of drift velocity of electrons in the two wires.<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">The number density of free electrons in a copper conductor is 8.5 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>28 <\/sup>m<sup>-3<\/sup> . How long does an electron take to drift from one end of a wire 3.0 m long to its other end? The area of cross section of the wire is 2.0 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>-6<\/sup>m<sup>2<\/sup> and it is carrying a current of 3.0 A.<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">State the reason, why Ga As is most commonly used in making of a solar cell.<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">For the circuit diagram of a Wheatstone bridge shown in the figure, use Kirchhoff&#8217;s laws to obtain its balance condition.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 86px; height: 116px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/pNgZ7jc.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"86\" height=\"116\" data-imgur-src=\"pNgZ7jc.png\" \/><\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>Three resistors <span class=\"math-tex\">{tex}2\\Omega ,4\\Omega {\/tex}<\/span>\u00a0and <span class=\"math-tex\">{tex}5\\Omega {\/tex}<\/span> are combined in parallel. What is the total resistance of the combination?<\/li>\n<li>If the combination is connected to a battery of emf 20 V and negligible internal resistance, determine the current through each resistor, and the total current drawn from the battery?<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">Calculate the value of the resistance R in the circuit shown in the figure, so that the current in the circuit is 0.2A. What would be the potential difference between points A and B?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 150px; height: 80px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/YpwmajK.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"195\" height=\"104\" data-imgur-src=\"YpwmajK.png\" \/><\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">Calculate the steady current through the <span class=\"math-tex\">{tex}2\\Omega{\/tex}<\/span> resistor in the circuit shown in the figure.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 110px; height: 94px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/GD2hYkI.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"131\" height=\"112\" data-imgur-src=\"GD2hYkI.png\" \/><\/div>\n<\/div>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<div class=\"question-container\">\n<div class=\"question-text\">A wire of resistance <span class=\"math-tex\">{tex}8\\Omega{\/tex}<\/span> is bent in the form of a circle. What is the effective resistance between the ends of a diameter AB?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 79px; height: 44px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/e2APPgZ.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"79\" height=\"44\" data-imgur-src=\"e2APPgZ.png\" \/><\/div>\n<\/div>\n<\/li>\n<\/ol>\n<p style=\"page-break-before: always; text-align: center;\"><strong>Class &#8211; 12 Physics (Current Electricity)<br \/>\nAnswers<\/strong><\/p>\n<hr \/>\n<ol style=\"padding-left: 20px;\">\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"margin-top: 5px; padding-left: 15px; list-style-type: lower-alpha;\" start=\"2\" type=\"a\">\n<li><span class=\"math-tex\">{tex}{1 \\over 3}\\Omega {\/tex}<\/span><br \/>\n<strong>Explanation: <\/strong> <span class=\"math-tex\">{tex}E_1=E_2=1.5{\/tex}<\/span><br \/>\nLet internal resistance of battery be r. If batteries are connected in series then,<br \/>\n<span class=\"math-tex\">{tex}E=E_1+E_2=3\\; V{\/tex}<\/span><br \/>\nT<sub>total<\/sub> = 2r<br \/>\nNow,<br \/>\n<span class=\"math-tex\">{tex}I = \\frac{E}{{\\left( {R + 2r} \\right)}}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex} \\Rightarrow 1 = \\frac{3}{{\\left( {R + 2r} \\right)}}{\/tex}<\/span><br \/>\nR + 2r = 3 &#8230;.. (i)<br \/>\nIf batteries are connected in parallel<br \/>\nE = 1.5V<br \/>\n<span class=\"math-tex\">{tex}\\frac{1}{{{T_{total}}}} = \\frac{1}{r} + \\frac{1}{r}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{T_{total}} = \\frac{r}{2}{\/tex}<\/span><br \/>\nand,<br \/>\n<span class=\"math-tex\">{tex}0.6 = \\frac{{1.5}}{{\\left( {R + \\frac{r}{2}} \\right)}}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex} \\Rightarrow 0.6R + 0.3r = 1.5{\/tex}<\/span> &#8230;&#8230;. (ii)<br \/>\non solving equation (i) and (ii)<br \/>\n<span class=\"math-tex\">{tex}r = \\frac{1}{3}\\Omega {\/tex}<\/span><\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"margin-top: 5px; padding-left: 15px; list-style-type: lower-alpha;\" start=\"4\" type=\"a\">\n<li>Increase in the rate of collisions between the carriers and vibrating atoms of the conductor<br \/>\n<strong>Explanation:<\/strong> When temperature increases, the thermal speed of the electrons increases as well as, the amplitude of vibration of the positive ions inside the metal conductor also increase, about their mean positions. Thus, the collisions between the electrons and the positive metal ions become more frequent and this decreases the relaxation time, t, leading to an increase in the resistivity of the conductor.<\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"margin-top: 5px; padding-left: 15px;\" type=\"a\">\n<li>22.5 volt<br \/>\n<strong>Explanation:<\/strong> An ideal voltmeter does not draw any current. Therefore the resistances 4000 \u03a9 and 3000 \u03a9 are in series. The current in the circuit<br \/>\n<span class=\"math-tex\">{tex}I = \\frac{{{V_{4000}}}}{{4000}} = \\frac{{30}}{{4000}}A{\/tex}<\/span><br \/>\nThe potential difference across the 3000 \u03a9 resistor<br \/>\n<span class=\"math-tex\">{tex}{V_{3000}} = I \\times 3000{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex} \\Rightarrow {V_{3000}} = \\frac{3}{{400}} \\times 3000{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{V_{3000}} = \\frac{{90}}{4}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{V_{3000}} = 22.5\\;V{\/tex}<\/span><\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"margin-top: 5px; padding-left: 15px; list-style-type: lower-alpha;\" start=\"2\" type=\"a\">\n<li>1.6 V<br \/>\n<strong>Explanation:<\/strong> If the battery has an e.m.f E, the resistance of the potentiometer is R and internal resistance of the battery is r, then the current I flowing in the potentiometer wire is given as,<br \/>\n<span class=\"math-tex\">{tex}{I = \\frac{E}{{\\left( {R + r} \\right)}}}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{I = \\frac{2}{{\\left( {4 + 1} \\right)}}}{\/tex}<\/span><br \/>\nI = 0.4 A<br \/>\nThe potential difference V across the potentiometer is<br \/>\n<span class=\"math-tex\">{tex}{V = I \\times R}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{ \\Rightarrow V = 0.4 \\times 4}{\/tex}<\/span><br \/>\nV = 1.6 V<\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"margin-top: 5px; padding-left: 15px; list-style-type: lower-alpha;\" start=\"2\" type=\"a\">\n<li>The algebraic sum of changes in potential around any closed loop must be zero.<br \/>\n<strong>Explanation:<\/strong> Kirchhoff\u2019s loop rule is based on the principle of conservation of energy. Since work done in transporting a charge in a closed loop is zero. The algebraic sum ( since potential differences can be both positive and negative) of potential differences around any closed loop is always zero.<\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">Variation of current versus voltage for the material Ga-As semiconductor material can be shown as &#8211;<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 150px; height: 121px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/sMKWgXZ.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"163\" height=\"131\" data-imgur-src=\"sMKWgXZ.png\" \/><br \/>\nIt shows at first current increases with applied voltage and then decreases in non linear fashion.<\/li>\n<li class=\"question-list\" style=\"clear: both;\">To solve this problem we will use ohm&#8217;s law which states that V = I\u00a0<span class=\"math-tex\">{tex}\\times{\/tex}<\/span>\u00a0R<br \/>\n1\/R = I\/V<br \/>\nSo slope of the graph is inversely proportional to resistance.Consider the figure,<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 92px; height: 89px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/rUoEwlo.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"92\" height=\"89\" data-imgur-src=\"rUoEwlo.png\" \/><br \/>\nSince, slope of 1 &gt; slope of 2.<br \/>\n<span class=\"math-tex\">{tex}I _ { 1 } \/ V _ { 1 } &gt; I _ { 2 } \/ V _ { 2 } \\Rightarrow V _ { 2 } \/ I _ { 2 } &gt; V _ { 1 } \/ I _ { 1 }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}.. \\quad R _ { 2 } &gt; R _ { 1 }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}\\because \\quad V \/ I = R{\/tex}<\/span><br \/>\nAlso, we know that resistance is directly proportional to the temperature.as R<sub>2<\/sub> &gt; R<sub>1<\/sub><br \/>\nTherefore, T<sub>2<\/sub> &gt; T<sub>1<\/sub>.<\/li>\n<li class=\"question-list\" style=\"clear: both;\">The <b>drift velocity<\/b> is the average <b>velocity<\/b> that a particle, such as an electron, attains in a material due to an electric field. It can also be referred to as axial <b>drift velocity<\/b>.<br \/>\nGiven that number density in X = 2 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> Number density in Y<br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow{\/tex}<\/span> n<sub>x<\/sub> = 2n<sub>y<\/sub> &#8230;(i)<br \/>\nAs current is common for the entire circuit,<br \/>\ni.e. I = n<sub>X<\/sub>A<sub>X<\/sub> e(v<sub>d<\/sub>)<sub>x<\/sub> = n<sub>Y<\/sub>A<sub>Y<\/sub>e(v<sub>d<\/sub>)<sub>Y<\/sub><br \/>\nAlso, the diameters of the wires are same<br \/>\nA<sub>X<\/sub> = A<sub>Y<\/sub><br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow \\quad \\frac { \\left( v _ { d } \\right) _ { x } } { \\left( v _ { d } \\right) _ { Y } } = \\frac { n _ { Y } } { n _ { X } } = \\frac { n _ { Y } } { 2 n _ { Y } }{\/tex}<\/span> [From Eq. (i)]\n<span class=\"math-tex\">{tex}= \\frac { 1 } { 2 }{\/tex}<\/span><br \/>\nso the required value is 0.5.<\/li>\n<li class=\"question-list\" style=\"clear: both;\">n = 8.5 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>28<\/sup>m<sup>-3<\/sup>; I = 3.0A<br \/>\nA = 2.0 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>-6<\/sup>m<sup>2<\/sup> , l = 3.0 m, e = 1.6 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>-19<\/sup>c<br \/>\nDrift velocity, <span class=\"math-tex\">{tex}{v_d} = \\frac{I}{{neA}}{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex} = \\frac{3}{{8.5 \\times {{10}^{28}} \\times 1.6 \\times {{10}^{ &#8211; 19}} \\times 2.0 \\times {{10}^{ &#8211; 6}}}}m{s^{ &#8211; 1}}{\/tex}<\/span><br \/>\n= 1.103 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>-4<\/sup>ms<sup>-1<\/sup><br \/>\n<span class=\"math-tex\">{tex}t = \\frac{1}{{{v_d}}} = \\frac{{3.0}}{{1.103 \\times {{10}^{ &#8211; 4}}}}S{\/tex}<\/span> = 2.72 <span class=\"math-tex\">{tex}\\times{\/tex}<\/span> 10<sup>4<\/sup>s (<span class=\"math-tex\">{tex}\\approx{\/tex}<\/span> 7.5 h<\/li>\n<li class=\"question-list\" style=\"clear: both;\">Ga As (gallium arsenide) is most commonly used in making of a solar cell because it absorbs relatively more energy from the incident solar radiation being of relatively higher absorption coefficient.<\/li>\n<li class=\"question-list\" style=\"clear: both;\">In balanced Wheatstone bridge if no current flow through galvanometer, that means while applying Kirchhoff&#8217;s law, we can neglect this path.<br \/>\nNo current flows through the galvanometer G when circuit is balanced.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 157px; height: 134px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/WZvzwfh.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"157\" height=\"134\" data-imgur-src=\"WZvzwfh.png\" \/><br \/>\nOn distributing currents as per Kirchhoff&#8217;s first rule.<br \/>\nApplying Kirchhoff&#8217;s second rule<\/p>\n<ol style=\"list-style-type: lower-roman;\" start=\"1\">\n<li>In mesh ABDA,<br \/>\n<span class=\"math-tex\">{tex}\\therefore{\/tex}<\/span> -I<sub>1<\/sub> R<sub>1<\/sub> + (I &#8211; I<sub>1<\/sub>) R<sub>4<\/sub> = 0<br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow{\/tex}<\/span> I<sub>1<\/sub> R<sub>1<\/sub> = (I &#8211; I<sub>1<\/sub>) R<sub>4 &#8230;.<\/sub>(i)<\/li>\n<li>In mesh BCDB,<br \/>\n-I<sub>1<\/sub> R<sub>2<\/sub> + (I &#8211; I<sub>1<\/sub>) R<sub>3<\/sub> = 0<br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow{\/tex}<\/span> I<sub>1<\/sub> R<sub>2<\/sub> = (I &#8211; I<sub>1<\/sub>) R<sub>3<\/sub> &#8230;(ii)<br \/>\nOn dividing Eq. (i) by Eq. (ii), we get<br \/>\n<span class=\"math-tex\">{tex}\\frac { I _ { 1 } R _ { 1 } } { I _ { 1 } R _ { 2 } } = \\frac { \\left( I &#8211; I _ { 1 } \\right) R _ { 4 } } { \\left( I &#8211; I _ { 1 } \\right) R _ { 3 } }\\Rightarrow\\; \\frac { R _ { 1 } } { R _ { 2 } } = \\frac { R _ { 4 } } { R _ { 3 } }{\/tex}<\/span><br \/>\nThis is necessary and required balanced condition of balanced Wheatstone bridge.<\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">\n<ol style=\"list-style-type: lower-alpha;\" start=\"1\">\n<li>Total resistance of parallel combination,<br \/>\n<span class=\"math-tex\">{tex}\\frac{1}{R} = \\frac{1}{{{R_1}}} + \\frac{1}{{{R_2}}} + \\frac{1}{{{R_3}}}{\/tex}<\/span> or <span class=\"math-tex\">{tex}\\frac{1}{R} = \\frac{1}{2} + \\frac{1}{4} + \\frac{1}{5} = \\frac{{10 + 5 + 4}}{{20}} = \\frac{{19}}{{20}}\\Omega {\/tex}<\/span><br \/>\nor <span class=\"math-tex\">{tex}R = \\frac{{20}}{{19}}\\Omega {\/tex}<\/span><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"height: 110px; width: 135px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/quesbank\/12\/phy\/ch03\/image621.png\" alt=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" width=\"225\" height=\"183\" \/><\/li>\n<li>Given voltage across the parallel<br \/>\nCombination V = 20 volt<br \/>\nLet the current through resistance <span class=\"math-tex\">{tex}2\\Omega ,4\\Omega {\/tex}<\/span>\u00a0and <span class=\"math-tex\">{tex}5\\Omega {\/tex}<\/span> are I<sub>1<\/sub>, I<sub>2<\/sub> and I<sub>3<\/sub> respectively.<br \/>\nNow <span class=\"math-tex\">{tex}{I_1} = \\frac{V}{{{R_1}}} = \\frac{{20}}{2} = 10A{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{I_2} = \\frac{V}{{{R_2}}} = \\frac{{20}}{4} = 5A{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}{I_3} = \\frac{V}{{{R_3}}} = \\frac{{20}}{5} = 4A{\/tex}<\/span><br \/>\nTotal current, I = I<sub>1<\/sub> + I<sub>2<\/sub> + I<sub>3<\/sub> = 10 + 5 + 4 = 19 A<\/li>\n<\/ol>\n<\/li>\n<li class=\"question-list\" style=\"clear: both;\">For BCD, equivalent resistance<br \/>\n<span class=\"math-tex\">{tex}R _ { 1 } = 5 \\Omega + 5 \\Omega = 10 \\Omega{\/tex}<\/span><br \/>\nAcross BA, equivalent resistance R<sub>2<\/sub>,<br \/>\n<span class=\"math-tex\">{tex}\\frac { 1 } { R _ { 2 } } = \\frac { 1 } { 10 } + \\frac { 1 } { 30 } + \\frac { 1 } { 15 }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}= \\frac { 3 + 1 + 2 } { 30 } = \\frac { 6 } { 30 } = \\frac { 1 } { 5 }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow \\quad R _ { 2 } = 5 \\Omega{\/tex}<\/span><br \/>\nPotential difference between points A and B,<br \/>\n<span class=\"math-tex\">{tex}V _ { B A } = I \\times R _ { 2 } = 0.2 \\times 5{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}V _ { B A } = 1 \\mathrm { V } \\Rightarrow V _ { A B } = &#8211; 1 \\mathrm { V }{\/tex}<\/span><\/li>\n<li class=\"question-list\" style=\"clear: both;\">In DC circuit, initially capacitor is in steady state i.e. it offers infinite resistance. Therefore, no current flows through capacitor and <span class=\"math-tex\">{tex}4\\Omega{\/tex}<\/span> resistance, so resistance will produce no effect.<br \/>\n<span class=\"math-tex\">{tex}\\therefore{\/tex}<\/span> In circuit AB the Effective resistance between <span class=\"math-tex\">{tex}2\\Omega \\ and\\ 3 \\Omega{\/tex}<\/span> which are connected in parallel combination is given by<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/51mh7M8.png\" alt=\"\" width=\"131\" height=\"112\" data-imgur-src=\"51mh7M8.png\" \/><br \/>\n<span class=\"math-tex\">{tex}R _ { A B } = \\frac { 2 \\times 3 } { 2 + 3 }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}= 1.2 \\Omega \\left[ \\because \\frac { 1 } { R_{eq} } = \\frac { 1 } { R _ { 1 } } + \\frac { 1 } { R _ { 2 } } \\Rightarrow R = \\frac { R _ { 1 } R _ { 2 } } { R _ { 1 } + R _ { 2 } } \\right]{\/tex}<\/span><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" style=\"width: 80px; height: 172px;\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/QZbJrxo.png\" alt=\"\" width=\"160\" height=\"343\" data-imgur-src=\"QZbJrxo.png\" \/><br \/>\nTotal resistance of the circuit = 1.2+ 2.8 = <span class=\"math-tex\">{tex}4\\Omega{\/tex}<\/span> [<span class=\"math-tex\">{tex}\\because{\/tex}<\/span> these two are connected in series combination]\nNet current drawn from the cell,<br \/>\nGiven ,<br \/>\nVoltage =6v<br \/>\ntotal resistance(R)<span class=\"math-tex\">{tex}=4\\Omega{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}I = \\frac { V } { R ( \\text { total resistance } ) } = \\frac { 6 } { 4 } = \\frac { 3 } { 2 } = 1.5 \\mathrm { A }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}\\therefore{\/tex}<\/span> Potential difference between A and B<br \/>\n<span class=\"math-tex\">{tex}V _ { A B } = I R _ { A B } = 1.5 \\times 1.2 \\Rightarrow V _ { A B } = 1.80 \\mathrm { V }{\/tex}<\/span><br \/>\nCurrent through <span class=\"math-tex\">{tex}2\\Omega{\/tex}<\/span> resistance,<br \/>\nwe know that V=I&#8217;R<br \/>\n<span class=\"math-tex\">{tex}I ^ { \\prime } = V _ {AB} \/ 2 \\Omega = 1.8 \/ 2 = 0.9 \\mathrm { A }{\/tex}<\/span><\/li>\n<li class=\"question-list\" style=\"clear: both;\">The resistance of the whole wire is <span class=\"math-tex\">{tex}8 \\Omega{\/tex}<\/span> which is bent in the form of a circle.<br \/>\nWhen the wire is bent in circular form of radius \u2018r\u2019, the circumference of the circle is, L = 2\u03c0r<br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow r = {L\\over2\u03c0}{\/tex}<\/span><br \/>\nA and B are two opposite points on the wire when bent in circular form.<br \/>\nThe resistance of each such part will be Resistance of one part between A and B is <span class=\"math-tex\">{tex}= {8\\over L}[\\pi r] = {8\\over L}[\\pi ({L\\over 2\\pi})]={8\\over 2}= 4\\Omega{\/tex}<\/span><br \/>\nSimilarly, resistance of the other part is also 4 \u03a9.<br \/>\nFrom the figure, it is clear that both the parts are in parallel combination.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/nLGHAsw.png\" alt=\"\" width=\"79\" height=\"44\" data-imgur-src=\"nLGHAsw.png\" \/><br \/>\nSo, effective resistance between A and B is given by,<span class=\"math-tex\">{tex}\\frac { 1 } { R _ { A B } } = \\frac { 1 } { R _ { 1 } } + \\frac { 1 } { R _ { 2 } }{\/tex}<\/span><br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow \\quad \\frac { 1 } { R _ { AB } } = \\frac { 1 } { 4 } + \\frac { 1 } { 4 }{\/tex}<\/span><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" title=\"Current Electricity Chapter 1 Extra Questions for Class 12 Physics\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/imgur\/ZyQPxJ1.png\" alt=\"\" width=\"137\" height=\"47\" data-imgur-src=\"ZyQPxJ1.png\" \/><br \/>\n<span class=\"math-tex\">{tex}\\Rightarrow \\quad R _ { A B } = \\frac { 4 } { 1 + 1 } = 2 \\Omega{\/tex}<\/span><\/li>\n<\/ol>\n<h2>Chapter Wise Extra Questions of Class 12 Physics Part I &amp; Part II<\/h2>\n<ol>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-important-questions-for-class-12-physics-chapter-1\/\">Electric Charges and Fields<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-chapter-2-extra-questions\/\">Electrostatic Potential and Capacitance<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/current-electricity-chapter-1-extra-questions-for-class-12-physics\/\">Current Electricity<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-chapter-4-important-questions\/\">Moving Charges and Magnetism<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-magnetism-and-matter-important-questions\/\">Magnetism and Matter<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/electromagnetic-induction-class-12-physics-important-questions\/\">Electromagnetic Induction<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/alternating-current-class-12-physics-extra-questions\/\">Alternating Current<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-electromagnetic-waves-important-questions\/\">Electromagnetic Waves<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-chapter-9-extra-questions\/\">Ray Optics and Optical<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/important-questions-for-class-12-physics-chapter-10-wave-optics\/\">Wave Optics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-chapter-11-physics-important-questions\/\">Dual Nature of Radiation and Matter<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-atoms-chapter-12-physics-extra-questions\/\">Atoms<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cbse-class-12-physics-chapter-13-nuclei-important-questions\/\">Nuclei<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/extra-questions-for-class-12-physics-electronic-devices\/\">Electronic Devices<\/a><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Current Electricity Chapter 3 Extra Questions for Class 12 Physics. We know Physics is tough subject within the consortium of science subjects physics is an important subject. 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