JEE Main 2023PhysicsCapacitanceMediumNumerical

JEE Main 2023 — Capacitance Question with Solution

JEE Main 2023 (24 Jan Shift 2)

Question

A parallel plate capacitor with air between the plate has a capacitance of 15 pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes x4 pF. The value of x is____.

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Show full solutionCorrect answer: 105
Correct answer
105

Step-by-step explanation

Capacitance of the parallel plate capacitor when air is present between the plates, C=ε0Ad=15 pF

Capacitance of the parallel plate capacitor when dielectric is filled in between the plates,

 C'=kε0Ad'=3.5ε0A2d=3.52×15 pF=1054 pF

Therefore, x=105.

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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.