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MHT CET 2026 (15 Apr, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2026 (15 Apr, Shift 2)

Q3MHT CET 2026 · 15 APR · SHIFT 2Easy

Combination of Capacitors

Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/2A/2 and separation between the plates is dd and 2d2d respectively. The equivalent capacity of the combination is

( ϵ0\epsilon_0 = absolute permittivity of free space)

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Answer: (b)

  1. Parallel: C=ϵ0(A/2)d+ϵ0(A/2)2dC = \frac{\epsilon_0 (A/2)}{d} + \frac{\epsilon_0 (A/2)}{2d}.
  2. C=Aϵ02d(1+12)=3Aϵ04dC = \frac{A\epsilon_0}{2d}\left(1 + \frac{1}{2}\right) = \frac{3A\epsilon_0}{4d}
  3. So the answer is (b).
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