JEE Physics · Hard

Electrostatics: Gauss's Law MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Gauss's LawHardQuestion 31437

Question

For a non-uniform electric field, flux through a surface element dA is:
  1. A
    E·dA
  2. B
    ∫E²dA
  3. C
    EdA
  4. D
    ∫(E·dA) summed over surface
    Correct

Correct answer

∫(E·dA) summed over surface

Explanation

Flux = ∮E·dA = surface integral. For non-uniform E, must integrate over the entire surface element by element.