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_{0}

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Q / 4 π ε_{0}

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Q / 2 ε_{0}

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Q / 2 π ε_{0}

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Solution

The correct option is C $Q / 2 ε_{0}$
Applying Gauss law,
$ϕ (f l u x) = ϕ \to E \cdot d s = \frac{q}{ϵ_{0}}$
$∴$ Hemisphere $= \frac{1}{2}$ of sphere $= \frac{q}{2 ϵ_{0}}$

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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/2ε0Applying Gauss law,ϕ(flux)=ϕ→E⋅ds=qϵ0∴ Hemisphere=12 of sphere=q2ϵ0

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 $Q / 2 ε_{0}$
Applying Gauss law,
$ϕ (f l u x) = ϕ \to E \cdot d s = \frac{q}{ϵ_{0}}$
$∴$ Hemisphere $= \frac{1}{2}$ of sphere $= \frac{q}{2 ϵ_{0}}$