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Capacitor question

2007 · Q120
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Capacitor question

2007 · Q120

NEETPhysicsCapacitorMCQ+4 / −1
Two condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully both the condensers is

AIPMT 2007 Physics - Capacitor Question 24 English
  1. A
    14CV2{1 \over 4}C{V^2}41​CV2
  2. B
    34CV2{3 \over 4}C{V^2}43​CV2
  3. C
    12CV2{1 \over 2}C{V^2}21​CV2
  4. D
    2CV2
View written solutionFree

Correct answer: B

AIPMT 2007 Physics - Capacitor Question 24 English Explanation

As the capacitors are connected in parallel, therefore potential difference across both the condensors remains the same.

∴\therefore∴ Q1=CV{Q_1} = CVQ1​=CV

Q2=C2V{Q_2} = {C \over 2}VQ2​=2C​V

Aslo, Q=Q1+Q2Q = {Q_1} + {Q_2}Q=Q1​+Q2​

=CV+Q2=32CV = CV + {Q_2} = {3 \over 2}CV=CV+Q2​=23​CV

Work done in charging fully both the condensors is given by

W=12QV=12×(32CV)V=34CV2W = {1 \over 2}QV = {1 \over 2} \times \left( {{3 \over 2}CV} \right)V = {3 \over 4}C{V^2}W=21​QV=21​×(23​CV)V=43​CV2

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