JEE Main 2014PhysicsCapacitanceHardMCQ

JEE Main 2014Capacitance Question with Solution

JEE Main 2014 (19 Apr Online)

Question

The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose relative permittivity varies linearly from ϵ1 at one plate to ϵ2 at the other. The capacitance of the capacitor is

Choose an option

Show full solutionCorrect option: A
Correct answer
Aϵ02-1Adln2/1

Step-by-step explanation

1dC=dxϵ0ϵA

=dxϵ0ϵ1+ϵ2-ϵ1dxA

1C=1dC=10A0xdx1+2-1d

=ln2/1d0A2-1

C=0A2-1ln2/1·d

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About this question

This is a previous-year question from JEE Main 2014, covering the Capacitance chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.