JEE Main 2026 — Capacitance Question with Solution
JEE Main 2026 (08 April Shift 2)
Question
A parallel plate capacitor is having separation between plates mm. It has a capacitance of F when the space between the plates is filled with an insulating material of resistivity m and resistance . Relative permittivity of the insulating material is . The value of is ________. (Take permittivity of free space F/m)
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
The resistance of the insulating material is given by .
The capacitance of the parallel plate capacitor is given by .
Multiplying the expressions for and , we get:
Rearranging for relative permittivity :
Substituting the given values:
Comparing this with the given expression , we get:
Answer:
The capacitance of the parallel plate capacitor is given by .
Multiplying the expressions for and , we get:
Rearranging for relative permittivity :
Substituting the given values:
Comparing this with the given expression , we get:
Answer:
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This is a previous-year question from JEE Main 2026, 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.