(a) Two concentric spherical shell conductors carry equal and opposite charges.

Question

(a) Two concentric spherical shell conductors carry equal and opposite charges. The inner shell has radius "a" and charge +q, and the outer shell has radius "b" and charge -q. Find the potential difference between the shells, Va-Vb, in terms of the given parameters and any constants.

(b) Two long, coaxial cylindrical shell conductors carry equal and opposite charges. The inner shell has radius "a" and charge +q, and the outer shell had radius "b" and charge -q. The length of each cylindrical shell is L. Find the potential difference between the shells, Va-Vb, in terms of the given parameters and any constants.

Explanation / Answer

1) You can use Gauss' law to determine the electric field in the space between the two shells. Gauss' law states that the surface integral of the electric field over any closed surface is equal to the charge enclosed by that surface divided by the permittivity of the medium (e0), which I'll assume is free space. In this case, we can take the Gaussian surface to be a spherical surface with a

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