A very long solid cylinder of radius R has positive charge uniformly distributed throughout it, with charge per unit volume rho.
From the expression for E for this cylinder: E(r)=λr2πϵ0R2 for r≤R and E(r)=λ2πϵ0r for r≥R, find the expressions for the electric potential V as a function of r, both inside and outside the cylinder. Let V = 0 at the surface of the cylinder. In each case, express your result in terms of the charge per unit length λ of the charge distribution.
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