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QAIPMT-2007-Ph-2362: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2362 Solution: Two condensers, one of capacity C and other of capacity C/2 are …

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

Multiple Choice Options

A $\frac{1}{4}CV^2$
B $\frac{3}{4}CV^2$
C $\frac{1}{2}CV^2$
D 2CV $^2$

Step-by-Step Verified Solution

As the capacitors are connected in parallel, therefore potential difference across both the condensors remains the same. _ Q 1 = C V Q 2 = C 2 V Aslo, Q = Q 1 + Q 2 = C V + Q 2 = 3 2 C V Work done in charging fully both the condensors is given by W = 1 2 Q V = 1 2 _ ( 3 2 C V ) V = 3 4 C V 2

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