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Question 31476
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Electrostatics: Gauss's Law MCQ

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Gauss's LawHardQuestion 31476

Question

Gauss's law in a dielectric medium: ε₀∇·E = ρ_free + ρ_bound. With displacement field D: ∇·D equals:
  1. A
    ρ_free + ρ_bound
  2. B
    ρ_free only
    Correct
  3. C
    ρ_bound only
  4. D
    Zero

Correct answer

ρ_free only

Explanation

D = ε₀E + P. ∇·D = ρ_free. This is the macroscopic Gauss's law in matter — D responds only to free charges.

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