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A short, solid cylinder (centered on the z-axis, top face at z = L, bottom face...

A short, solid cylinder (centered on the z-axis, top face at z = L, bottom face at z =0, radius R) carries a volume charge distribution ρ(φ) = ρ0cosφ.

a. Find an expression for the potential at an arbitrary point (s,φ, z).

b. Use your result from part (a) to find the potential the potential at the origin, and the point (x = R, y = 0, z = 0).

c. Graph the potential as a function of position along the z-axis.

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