Question


A parallel plate capacitor has plates of area 'A' separated by distance 'd' between them. It is filled with a dielectric which has a dielectric constant that varies as where 'x' is the distance measured from one of the plates. If , the total capacitance of the system is best by the expression:

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A

B

C

D

Hard
JEE Mains
Updated on : 2022-09-05
Solution
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Correct option is C)

Refer image 1.
Let
be the dielectric constant
The capacitor can be considered to be a series combination of a large number of capacitors of thickness .
Refer image 2.


where

 


Now,






Now,    

option (C) is correct.

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Solve any question of Electrostatic Potential and Capacitance with:-
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