JEE Main 2023PhysicsCapacitanceEasyNumerical

JEE Main 2023Capacitance Question with Solution

JEE Main 2023 (25 Jan Shift 2)

Question

A capacitor has capacitance 5 µF when its parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness d2 is inserted between the plates. Capacitance of the capacitor in the presence of slab will be ______ µF.

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Show full solutionCorrect answer: 6
Correct answer
6

Step-by-step explanation

Capacitance of the parallel plate capacitor when air is present C=ϵ0Ad=5 μF

After insertion of dielectric, the equivalent capacitance of the new capacitor is 

Ceq=ϵ0 Ad21.5+d21

=ε0 Ad3+d2=6ε0 A5d

=65×5 μF=6 μF.

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About this question

This is a previous-year question from JEE Main 2023, 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.