• A point charge $q=-5\mathrm{.}010^-$¹¹²c is placed at the center of a spherical conducting shell of inner radius $3\mathrm{.}5$cm and outer radius $4\mathrm{.}0cm.$ The electric field just above the surface of the conductor is directed radially outward and has magnitude $8\mathrm{.}0\frac{}{}N/c.$$$
• $($a$)$ What is the charge density on the inner surface of the shell?
• $($b$)$ What is the charge density on the outer surface of the shell?
• $($c$)$ What is the net charge on the conductor?