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. What is the magnitude of the electric field at radius r where (a)r < R and (b)r > R. State your answers in terms of the given variables, using ε0 when needed.
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