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Question 31555
JEE Physics · Hard

Capacitance: Multiple Dielectric Layers MCQ

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Multiple Dielectric LayersHardQuestion 31555

Question

Two dielectric layers of equal thickness (K₁ and K₂) fill the gap of a parallel-plate capacitor. Effective dielectric constant is:
  1. A
    (K₁+K₂)/2
  2. B
    2K₁K₂/(K₁+K₂)
    Correct
  3. C
    √(K₁K₂)
  4. D
    K₁K₂

Correct answer

2K₁K₂/(K₁+K₂)

Explanation

Two layers in series (stacked): C = ε₀A/d where effective K = 2K₁K₂/(K₁+K₂) — the harmonic mean.

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