A long, nonconducting, solid cylinder of radius R has a nonuniform volume charge density ρ that is a function of radial distance r from the cylinder axis: ρ = Ar2, where A is a constant with the appropriate units. NOTE: Express your answers in terms of the given variables, using ϵ0 when needed. (a) Determine the magnitude of the electric field at radius r, where r < R. Ea = (b) Determine the magnitude of the electric field at radius r, where r > R. Eb =
