A charged metal sphere of radius 16.2 cm has a net charge of 31.5 nC. (a) We have to find the electric potential at the sphere’s surface. (b) We have to find the distance from the surface of the sphere where the potential has decreased by 550 V.

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Radius of the metal sphere

Charge on the metal sphere

Potential due to the charge on the sphere

Therefore, potential at the sphere’s surface will be

We will next find r at which potential

This is at a distance of .