JEE Main 2014PhysicsCapacitanceMediumMCQ

JEE Main 2014 — Capacitance Question with Solution

JEE Main 2014 (06 Apr)

Question

A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3 × 1 0 4  V/m , the charge density of the positive plate will be close to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A 6 × 1 0 - 7  C / m 2

Step-by-step explanation

E = 3 × 1 0 4  V/m

We know that

Q = CV

   =kε0Ad·E·d

    =kε0AE

  QA=kε0E

=2.2×8.85×10-12×3×104

=58.41×10-8

=5.84×10-7

≈6×10-7C/m2

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About this question

This is a previous-year question from JEE Main 2014, 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.