Please see the attached file.
A spherical shell of radius R centered at the origin has a surface charge density (file attached).
1. Setup the Coulomb integral for the electric potential V(z) for any point on the z axis. Find the function.
2. Evaluate V(z) at the origin (z=0)
Note: you may need to look up the integral.© BrainMass Inc. brainmass.com October 10, 2019, 7:01 am ad1c9bdddf
The solution shows the potential at the center of a spherical shell with non-uniform surface charge density.