Non-uniform Surface Charge Density
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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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