An infinitely long, solid cylinder of charge with constant positive charge density, po, is concentric with an infinite cylindrical shell of charge per unit length, -A, where A is a positive quantity. Both cylinders have their axes aligned with the z axis. The radius of the solid cylinder is a and that of the shell is b. Assume b > a. - Po a) Find the electric field (vector) as a function of radial distance, r, from the z axis. You may provide your answer in piecewise form, but account for all values of r. b) Find the electric potential as a function of radial distance, r, from the z axis for r < b taking P(r=0) = 0. %3D c) Under what condition on the parameters of the problem will the electric field outside the cylindrical shell be zero? d) For the situation in part c,what is the electric potential as a function of r, forr> b.

An infinitely long, solid cylinder of charge with constant positive charge density, po, is concentric with an infinite cylindrical shell of charge per unit length, -A, where A is a positive quantity. Both cylinders have their axes aligned with the z axis. The radius of the solid cylinder is a and that of the shell is b. Assume b > a. - Po a) Find the electric field (vector) as a function of radial distance, r, from the z axis. You may provide your answer in piecewise form, but account for all values of r. b) Find the electric potential as a function of radial distance, r, from the z axis for r < b taking P(r=0) = 0. %3D c) Under what condition on the parameters of the problem will the electric field outside the cylindrical shell be zero? d) For the situation in part c,what is the electric potential as a function of r, forr> b.