JEE Physics · Hard

Capacitance: Capacitor Between Three Plates MCQ

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

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Capacitor Between Three PlatesHardQuestion 31589

Question

Three large conducting plates are arranged parallel with separations d₁ = 1 mm and d₂ = 2 mm. Middle plate is free. Capacitance of the system equals:
  1. A
    Series combination of two capacitors
    Correct
  2. B
    Parallel combination of two capacitors
  3. C
    Single capacitor with d = d₁+d₂
  4. D
    Isolated sphere capacitance

Correct answer

Series combination of two capacitors

Explanation

The three-plate system forms two capacitors (upper and lower regions) in series. Charge is induced on the middle plate to maintain equilibrium.