Question

The electric field outside a small, spherical, metallic charge q at distance r from the center of the charge is E=1/((4PiEpisolon)*(q/r^2)). The radius of the sphere is R. Use calculus to determine the potential at any r that is outside the sphere.

Answer 1

We know that potential is related to Electric field as
\[V=-\int_{\infty} ^{R=r} E.dR\]
Can you try now?

Answer 2

@alwaysstruggling

Answer 3

So we would find that the final answer would be

\[V = q/4 \pi \epsilon r\]
Does that look right?

Answer 4

And thank you @ash2326