JEE Main 2023PhysicsCapacitanceMediumMCQ

JEE Main 2023 — Capacitance Question with Solution

JEE Main 2023 (25 Jan Shift 1)

Question

A parallel plate capacitor has plate area 40 cm2 and plates separation 2 mm. The space between the plates is filled with a dielectric medium of a thickness 1 mm and dielectric constant 5. The capacitance of the system is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C103ε0 F

Step-by-step explanation

With insertion of dielectric, the system can be considered as combination of two capacitors in series.

Thus, equivalent capacitance of the system is 

1Ceq=1C1+1C2

=1Kε0 At+1ε0 A d-t

=tKε0 A+d-tε0 A

=1×10-35ε0×40×10-4+1×10-3ε0×40×10-4

⇒1Ceq=120ε0+14ε0

⇒Ceq=20×4ε024=10ε03 F.

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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.