Q.

The figure shows a parallel-plate capacitor having square plates of edge a and plate-separation d. The gap between the plates is filled with a directrices of dielectric constant k which varies as K=K0+αx parallel to an edge as where K and α are constants and x is the distance from the left end. Calculate the capacitance.

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a

ε0a2dK0+2

b

ε0adK0+2

c

ε0adK02

d

ε0a2dK02

answer is A.

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Detailed Solution

dC=0aK0+αxϵ0ad×dx

=ε0adK0a+αa22

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