The neutral hydrogen atom in its normal state behaves in some respects like an electric charge distribution which consists of a point charge of magnitude +e surrounded by a distribution of negative charge whose density is given by \(\rho(r) =-Ce^{-2r/a_{0}}\) a0 is the Bohr radius 0.53 * 10^-10 m and C is a constant with the value required to make the total amount of negative charge exactly e. What is the net electric charge inside a sphere of radius a0? What is the electric field strength at this distance from the nucleus?