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Question 31434
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Electrostatics: Gauss's Law MCQ

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Gauss's LawHardQuestion 31434

Question

Electric flux through a hemisphere of radius R placed in a uniform field E (field along axis of hemisphere):
  1. A
    πR²E
    Correct
  2. B
    2πR²E
  3. C
    0
  4. D
    4πR²E

Correct answer

πR²E

Explanation

Flux through curved part = flux through flat base (by Gauss's law, no charge enclosed, total = 0 for closed surface). Flat base: area = πR², flux = E×πR². Curved hemisphere gets same but opposite sign. So flux through curved hemisphere = πR²E (outward).

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