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A parallel plate capacitor with plate ar...

A parallel plate capacitor with plate area A & plate separation d is filled with a dielectric material of dielectric constant given by`K=K_(0)(1+alphax).`. Calculate capacitance of system: (given `alpha d ltlt 1)`.

A

`(K_(0)epsi_(0)A)/(d)(1+alpha^(2)d^(2))`

B

`(K_(0)epsi_(0)A)/(d)(1+(alphad)/(2))`

C

`(k_(0)epsi_(0)A)/(2d)(1+alphad)`

D

`(K_(0)epsi_(0)A)/(2d)(1+(alphad)/(2))`

Text Solution

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The correct Answer is:
B
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