A hollow metallic sphere of radius R is given | vedclass

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(B) For a hollow metallic sphere of radius $R$ carrying a charge $Q$,the electric field inside the sphere is zero.Since the electric field $E = -\frac

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$\frac{1}{4\pi \varepsilon_0} \cdot \frac{Q}{R}$

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(B) For a hollow metallic sphere of radius $R$ carrying a charge $Q$,the electric field inside the sphere is zero.Since the electric field $E = -\frac{dV}{dr} = 0$,the potential $V$ must be constant throughout the interior of the sphere.The potential at the surface of the sphere is given by $V = \frac{1}{4\pi \varepsilon_0} \cdot \frac{Q}{R}$.Since the potential is constant inside,the potential at the centre is the same as the potential at the surface,which is $V = \frac{1}{4\pi \varepsilon_0} \cdot \frac{Q}{R}$.

$A$ hollow metallic sphere of radius $R$ is given a charge $Q$. Then the potential at the centre is

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