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Question 31576
JEE Physics · Hard

Capacitance: Capacitor Plate Force MCQ

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

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Capacitor Plate ForceHardQuestion 31576

Question

Force of attraction between the plates of a parallel-plate capacitor with charge Q and plate area A is:
  1. A
    Q²/(2ε₀A)
    Correct
  2. B
    Q²/(ε₀A)
  3. C
    Q/(2ε₀A)
  4. D
    Q²ε₀/A

Correct answer

Q²/(2ε₀A)

Explanation

Each plate is in the field of the other: E_one = σ/2ε₀. Force = QE_one = Q·σ/2ε₀ = Q²/(2ε₀A).

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