Question

An empty hollow metal sphere has a potential of +490 V with respect to ground (defined to be at V = 0) and has a charge of 7.8 10-9 C. Find the electric potential at the center of the sphere. V

Answer 1

We know that electric field at the center of the sphere is zero. Sothat we have
           E = -ΔV.
From this relation we have V is constant throughout the interior ofthe sphere conductor.
Therefore the potential at the center of the sphere is + 490V.

OR

There is no electric field within the sphere by Gauss' Law since there is no
charge enclosed by an imaginary sphere of smaller radius than the
actual sphere.
The electric potential is +490 V everywhere within the conducting sphere.