JEE Physics · Hard

Capacitance: Charge on Inner/Outer Plates MCQ

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

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Charge on Inner/Outer PlatesHardQuestion 31568

Question

Three conducting plates (A, B, C) are parallel, separated equally. B is connected to earth. Equal charges +Q are placed on A and C. Charge on left surface of B is:
  1. A
    +Q
  2. B
    −Q
    Correct
  3. C
    0
  4. D
    +2Q

Correct answer

−Q

Explanation

By method of images/Gauss's law analysis, the earthed central plate B acquires −2Q total. Left face: −Q, right face: −Q by symmetry.