Consider a hollow insulating cylindrical shell (of finite volume) of positive uniform charge density p, inner radius a, and outer radius b. Find the electric field in all three regions: inside the hollow cavity, inside the shell, and outside the shell, using cylindrical symmetry. Re-do the above problem but add an additional line of positive uniform charge density λ down the center of the hollow cylindrical cavity.

Consider a hollow insulating cylindrical shell (of finite volume) of positive uniform charge density p, inner radius a, and outer radius b. Find the electric field in all three regions: inside the hollow cavity, inside the shell, and outside the shell, using cylindrical symmetry. Re-do the above problem but add an additional line of positive uniform charge density λ down the center of the hollow cylindrical cavity.