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A very small sphere having a charge q , uniformly distributed throughout its volume, is placed at the vertex of a cube of side a . The electric flux through the cube is

Options

  1. Aq ε 0
  2. Bq 3 ε 0
  3. Cq 6 ε 0
  4. Dq 8 ε 0

Correct answer

D. q 8 ε 0

Step-by-step solution

If charge q is placed at a corner of cube, it will be divided into 8 such cubes. Therefore, electric flux through the cube is ϕ ′ = 1 8 q ε 0

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