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The figure shows a parallel-plate capaci...

The figure shows a parallel-plate capacitor having square plates of edge a and plate-separation di The gap between the plates is filled with a directric of dielectric constant k which varies as `K=K_(0) + alphax` parallel to an edge as where K and `alpha` are constants and x is the distance from the left end. Calaculate the capacitance.

A

`(epsilon_0a^2)/(d)(K_(0)+(aalpha)/2)`

B

`(epsilon_0a^2)/(d)(K_(0)-(aalpha)/2)`

C

`(epsilon_0a)/(d)(K_(0)-(aalpha)/2)`

D

`(epsilon_0a)/(d)(K_(0)+(aalpha)/2)`

Text Solution

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The correct Answer is:
A
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