The area of the plates of parallel plate capacitor is $A$ and the gap between them is $d$. The gap is filled with a non-homogeneous dielectric whose dielectric constant varies with the density $y$ from one plate as: $K=λsec(πy/2d)$, where $λ$ is a dimensionless constant. The capacitance of this capacitor is

A

$πε_{0}λA/2d$

B

$πε_{0}λA/d$

C

$2πε_{0}λA/d$

D

$None$

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Solution

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Correct option is A)

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