The electric field at the surface of a charged, solid, copper sphere with radius 0.200 m is 3800 N>C, directed toward the center of the sphere. What is the potential at the center of the sphere, if we take the potential to be zero infinitely far from the sphere

760 V.

Explanation:

Given:

Radius, r = 0.2 m

Electric field, E = 3800 N/C

E = V/d

Where,

V = potential difference

d = distance from the field

V = 3800 * 0.2

= 760 V.

The potential at the center of the sphere = - 760 V

Explanation:

Since the electric field is directed towards the center of the sphere, the charge is negative and hence the potential is negative.

Therefore, the potential at the center of the sphere, V = - Er

E = 3800 N/C

r = 0.200 m

V = - 3800 * 0.2

V = - 760 V