Electric Potential Calculation for a Non-Uniform Electric Field.
A solid insulating sphere of radius a is centered at the origin. A total positive charge $Q_{ins}$ uniformly distributed
throughout the volume of the insulating sphere. Concentric with the sphere is a metal (conducting) spherical shell of
inner radius b and outer radius c. A total negative net charge $Q_{metal}$ is on the conducting shell. See the figure below.
The dimensions of the insulating sphere and metal spherical shell are:
a =2 cm
b =4 cm
c =6 cm
The total charge on the insulating sphere is $Q_{ins}$ =+3 µC
The total charge on the conducting spherical shell is $Q_{metal}$ =-5µC.
3. Use Gauss' Law to calculate the net electric field at a radius $r > c$.
4. With reference to 0 V infinitely far away from the spheres, determine the value of the electric potential at the inner
surface of the conducing shell, at r = b.