1. An infinitely long, thin cylindrical shell of radius R is aligned with the z axis and carries a uniform surface charge density o on its surface. (a) Determine the electric field and potential for all points inside and outside the cylinder. (b) Show that the electric field suffers a discontinuity at the shell's surface given by O Ēabove - Ebelow = ĥ €0 whereas the electrostatic potential is continuous across the shell's surface Vabove = Vbelow.

1. An infinitely long, thin cylindrical shell of radius R is aligned with the z axis and carries a uniform surface charge density o on its surface. (a) Determine the electric field and potential for all points inside and outside the cylinder. (b) Show that the electric field suffers a discontinuity at the shell's surface given by O Ēabove - Ebelow = ĥ €0 whereas the electrostatic potential is continuous across the shell's surface Vabove = Vbelow.