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Q.

Two condensers, one of capacity C and the other of capacity C/2, are connected to a V volt battery, as shown. The work done by the battery in charging fully both the condensers is

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a

$\frac{3}{2} {CV}^{2}$

b

$\frac{1}{4} {CV}^{2}$

c

$2 C V^{2}$

answer is D.

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Detailed Solution

$u = \frac{1}{2} C V^{2} + \frac{1}{2} \frac{C}{2} V^{2}$

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