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An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ...

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Physics

An infinitely long hollow cylinder of radius R is carrying auniform surface charge density σ (φ).

(a) Determine the general form of the solution of Laplace’sequation for this geometry.

(b) Use the boundary condition σ(φ) = σ0cos(φ) to determinethe potential inside and outside of the cylinder.

(c) Using your answer to part (b), determine the electricfield inside and outside of the cylinder.

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