A charge of 12 μC is given to a hollow metallic sphere of radius 0.1 m. Find the potential at the (i) surface (ii) centre of the sphere.

Solution

Given, a hollow metallic sphere.
Charge given to the sphere, q= 12 μC
radius of the sphere, r= 0.1 m

i) Potential at the surface of sphere, V= $\frac{1}{4 {πε}_{\circ}} \frac{q}{r}$
$= 9 \times 10^{9} \times \frac{12 \times 10^{- 6}}{0.1} = 10.80 \times 10^{5} V$

ii) Potential at the centre is same as that of the potential at the surface. The charge will get accumulated at the centre of the hollow sphere.

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Electrostatic Potential And Capacitance

A charge of 12 μC is given to a hollow metallic sphere of radius 0.1 m. Find the potential at the (i) surface (ii) centre of the sphere.

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