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Question

Physics Question on Electric Charge

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:

A

qε0\frac{q}{ε_0}

B

q2ε0\frac{q}{2ε_0}

C

q4ε0\frac{q}{4ε_0}

D

q2πε0\frac{q}{2πε_0}

Answer

q2ε0\frac{q}{2ε_0}

Explanation

Solution

Total flux passing through the flat surface:

Flux passing through flat surface=Flux passing through curved surface.\text{Flux passing through flat surface} = \text{Flux passing through curved surface.}

So Φ=q2ε0Φ=\frac{q}{2ε_0}