Question

A hollow spherical conductor, carrying a net charge +Q, has an inner radius R1 and outer radius R₂=2R₁. At the center of the sphere is a point charge +Q/2.

(A) Write the electric field strength E in all three regions as a function of R.

Then determine the potential as a function of R, the distance from the center, for

(B) R > R₂,

(C) R₁ < R < R₂, and

(D)0 < R < R₁.

 

(E)Plot both V and E as a function of R from R = 0 to R = 2R₂.