Physics Electrostatics Potential & Capacitance JEE Main 2020 - ( Capacitance ) MCQ (Single Correct)

A parallel plate capacitor has plates of area A separated by distance d between them. It is filled with a dielectric 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 given by the expression:

A

B
C

D

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The correct answer is:
B

As K is variable we take a plate element of Area A and thickness dx at distance x
Capacitance of element

Now all such elements are is series so equivalent capacitance

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