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Electrostatics: Gauss's Law MCQ

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Gauss's LawHardQuestion 31440

Question

Differential form of Gauss's law is:
  1. A
    ∇·E = ρ
  2. B
    ∇·E = ρ/ε₀
    Correct
  3. C
    ∇×E = ρ/ε₀
  4. D
    ∇²E = ρ/ε₀

Correct answer

∇·E = ρ/ε₀

Explanation

Maxwell's first equation: ∇·E = ρ/ε₀ where ρ is the free charge volume density. This is the differential (local) form of Gauss's law.

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