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If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be

Options

  1. Aq ε 0
  2. Bq 2 ε 0
  3. Cq 4 ε 0
  4. Dq 2 π ε 0

Correct answer

B. q 2 ε 0

Step-by-step solution

Assume a complete sphere, then flux due to a charge placed at the center of sphere is ϕ = q ε 0 Flux through hemisphere surface is equal to flux passing through flat surface ϕ = 1 2 × q ε 0 = q 2 ε 0

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