The potential at the center of the sphere

[chan1]

Homework Statement

the electric field at the surface of a charged, solid, copper sphere with radius 0.160m is 3600N/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?
answer in V
thanks



. The attempt at a solution
v=u/q
how to find the u and q thanks

 

[vanhees71]

Think about what's the electric field inside the sphere (copper is a conductor!).

 

[chan1]

Think about what's the electric field inside the sphere (copper is a conductor!).

Q=R^2E/k , v=kQ/R
use these two?

 

[STEMucator]

Pretty sure there was a theorem that said the electric field inside an isolated conductor is zero, but the potential has the same value at all points on the surface whether inside the surface or not. That is, the potential is the same at the center as it would be anywhere else on the conductor.

This is because the charge distributes itself uniformly on the surface of a spherical conductor.