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Question 31487
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Electrostatics: Laplace's Equation MCQ

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Laplace's EquationHardQuestion 31487

Question

Laplace's equation ∇²V = 0 applies in regions with:
  1. A
    Uniform charge density
  2. B
    No free charges
    Correct
  3. C
    Conductors only
  4. D
    Maximum electric field

Correct answer

No free charges

Explanation

In charge-free regions, ρ = 0, so Poisson's equation ∇²V = −ρ/ε₀ reduces to Laplace's equation ∇²V = 0.

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