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

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TestHub · Accepted Answer

Assume a complete sphere, then flux due to a charge placed at the center of sphere is $ϕ = \frac{q}{ε_{0}}$

Flux through hemisphere surface is equal to flux passing through flat surface $ϕ = \frac{1}{2} \times \frac{q}{ε_{0}} = \frac{q}{2 ε_{0}}$

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