JEE Physics · Hard

Capacitance: Method of Images – Capacitor MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Method of Images – CapacitorHardQuestion 31581

Question

A point charge q is placed midway between the plates of an infinite parallel-plate capacitor (grounded). The induced charge on each plate is:
  1. A
    q/2
  2. B
    −q/2
    Correct
  3. C
    q
  4. D
    −q

Correct answer

−q/2

Explanation

By symmetry and Gauss's law, each grounded plate induces charge −q/2. The total induced charge is −q (neutralising the point charge).