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Question 31544
JEE Physics · Medium

Capacitance: Bound Charge MCQ

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Bound ChargeMediumQuestion 31544

Question

A dielectric slab with K=3 is inserted between capacitor plates. Bound surface charge density σ_b relates to free charge density σ_f by:
  1. A
    σ_b = σ_f/3
  2. B
    σ_b = 2σ_f/3
  3. C
    σ_b = σ_f(K−1)/K
    Correct
  4. D
    σ_b = Kσ_f

Correct answer

σ_b = σ_f(K−1)/K

Explanation

Induced bound charge density = σ_f(1 − 1/K). For K=3: σ_b = 2σ_f/3.

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