A sphere of radius a has total charge Q. The volume charge density (in C/m^3) within the sphere is ρ(r) =C/r^2, where C is a constant equal to Q/(4πa). Discover expressions for the electric field both inside and outside the sphere as a function of the radial distance from its center using Gauss's law. Graph the electric field both inside and outside the sphere (on the vertical axis) as a function of the radial distance (on the horizontal axis).