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Questions  

The plate separation in a parallel plate condenser is d and plate area is A. If it is charged to V volts, then the work done in increasing the plate separation to 2 d will be

a
ε0AV22d
b
ε0A2V2d
c
ε0AV2d
d
ε0A2Vd

detailed solution

Correct option is B

The work done W is given byW=U2−U1Here, U1=12CV2and  U2=12C2(2V)2=CV2∴ W=CV2−12CV2=12CV2=12ε0AdV2=ε0AV22d

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