# Non-uniform Surface Charge Density

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.

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#### Solution Summary

The solution shows the potential at the center of a spherical shell with non-uniform surface charge density.

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