Q.

A parallel plate condenser with a dielectric of dielectric constant K between plates has a capacity C and is charged to a potential V volt. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is

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a

(K−1)CV2

b

zero

c

1/2(K−1)CV2

d

CV2(K−1)/K

answer is B.

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Detailed Solution

Here the initial and final states of the system are the same. Therefore, the force involved is conservative. So, the net work done by the system will be zero.
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A parallel plate condenser with a dielectric of dielectric constant K between plates has a capacity C and is charged to a potential V volt. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is