Notes

Potential of a Charged Conducting Sphere [or Shell of Charge]…

Potential of a Charged Conducting Sphere [or Shell of Charge] – If a charge on a conducting sphere of radius R is Q and σ surface charge density as shown in the figure below, then potential in different situations is as given below:
At a point outside the surface, V_out = 1/4πε₀×Q/r = σR²/ε₀r
At surface, r = R, V_s = 1/4πε₀×Q/r = σR/ε₀ Inside V_in = constant = V_s