A charge $Q$ is placed at the centre of a hemispherical surface of radius $R$ . The flux of electric field due to charge $Q$ , through the surface of hemisphere is

Q / 4 ϵ_{o}

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Q / 4 π ϵ_{o}

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Q / 2 ϵ_{o}

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Q / 2 π ϵ_{o}

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Solution

The correct option is C $Q / 2 ϵ_{o}$
The flux of electric field due to a charge placed at the center of sphere $= \frac{q}{ϵ_{o}}$
$∴$ the flux of electric field due to a charge placed at the center of hemisphere $= \frac{q}{2 ϵ_{o}}$

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A charge Q is placed at the centre of a hemispherical surface of radius R. The flux of electric field due to charge Q, through the surface of hemisphere is

The correct option is C Q/2ϵoThe flux of electric field due to a charge placed at the center of sphere =qϵo∴ the flux of electric field due to a charge placed at the center of hemisphere =q2ϵo

A charge $Q$ is placed at the centre of a hemispherical surface of radius $R$ . The flux of electric field due to charge $Q$ , through the surface of hemisphere is

The correct option is C $Q / 2 ϵ_{o}$
The flux of electric field due to a charge placed at the center of sphere $= \frac{q}{ϵ_{o}}$
$∴$ the flux of electric field due to a charge placed at the center of hemisphere $= \frac{q}{2 ϵ_{o}}$