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(C) For a hollow conducting sphere,the electric field inside the sphere is zero because the charge resides only on the outer surface.Since the electri

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

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(C) For a hollow conducting sphere,the electric field inside the sphere is zero because the charge resides only on the outer surface.Since the electric field $E = -\frac{dV}{dr} = 0$,the potential $V$ must be constant throughout the interior of the sphere.The potential at any point inside the sphere is equal to the potential at its surface.The potential at the surface of a sphere of radius $R$ with charge $Q$ is given by $V = \frac{1}{4\pi \varepsilon_0} \frac{Q}{R}$.Therefore,at a distance $r = \frac{R}{3}$ from the centre,the potential is $\frac{1}{4\pi \varepsilon_0} \frac{Q}{R}$.

$A$ hollow conducting sphere of radius $R$ has a charge $(+Q)$ on its surface. What is the electric potential within the sphere at a distance $r = \frac{R}{3}$ from its centre?

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