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+1 vote
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in Physics by (47.5k points)

A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as :

(1) \(\left(\varepsilon_0 + \frac{kd}{2}\right)^{2/kA}\)

(2) \(\frac{kA}{\text{2 In}\left(\frac{2\varepsilon_0 + kd}{2\varepsilon_0}\right)}\)

(3) 0

(4) \(\frac{kA}{2}In \left(\frac{2\varepsilon_0}{2\varepsilon_0-kd}\right)\)

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1 Answer

+2 votes
by (45.1k points)

Correct answer is 2.

Taking an element of width dx at a distance

x (x < d/2) from left plate

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