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MHT CET 2026 (11 Apr, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2026 (11 Apr, Shift 2)

Q4MHT CET 2026 · 11 APR · SHIFT 2Easy

Combination of Capacitors

Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/3 and separation between the plates is d, 2d and 3d respectively. The equivalent capacity of the combination is (ϵ0\epsilon_0-permittivity of free space)

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Answer: (c)

  1. Parallel: C=ϵ0A3d(1+12+13)C = \frac{\epsilon_0 A}{3d}\left(1 + \frac{1}{2} + \frac{1}{3}\right).
  2. C=ϵ0A3d⋅116=11ϵ0A18dC = \frac{\epsilon_0 A}{3d} \cdot \frac{11}{6} = \frac{11\epsilon_0 A}{18d}
  3. So the answer is (c).
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