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MHT CET 2026 (12 May, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2026 (12 May, Shift 1)

Q6MHT CET 2026 · 12 MAY · SHIFT 1Easy

Dielectrics

A parallel plate air capacitor consists of two metal plates of area AA and separation dd. A slab of thickness tt and dielectric constant 2k2k is inserted between the plates with its faces parallel to the plates. The effective capacitance of the system is (ϵ0=\epsilon_0 = permittivity of free space)

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Answer: (a)

  1. Slab of thickness tt and constant KK: C=ϵ0A(d−t)+tKC = \frac{\epsilon_0 A}{(d-t) + \frac{t}{K}}.
  2. Here K=2kK = 2k, so C=ϵ0A(d−t)+t2kC = \frac{\epsilon_0 A}{(d-t) + \frac{t}{2k}}.
  3. So the answer is (a).
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