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Question

The capacity of a parallel plate condenser without any dielectric is C. If the distance between the plates is doubled and the space between the plates is filled with a substance of dielectric constant , the capacity of the condenser becomes:

A

B

C

D

Hard

Solution

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Correct option is
D

The capacitance of a parallel plate capacitor is given by

,

where is the area of the plate and is the distance between them.

In the first case, there was no dielectric medium, i.e., .

So we have   

In the second case, the distance is doubled, i.e., and a substance of dielectric constant is inserted between the plates.

Hence capacitance will change to 

So,

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