The neutral hydrogen atom in its normal (ground) state behaves in some respects like an electric charge distribution which consists of a point charge of magnitude e (the proton) surrounded by a distribution of negative charge whose density is given by -rho(r )=Ce^-2r/ao. Here a0 is the Bohr radius, 0.53x10^-10m, and C is a constant with the value required to make the total amount of negative charge exactly e.

a. What is the net electric charge inside a sphere of radius a0?
b. What is the electric field strength at this distance from the nucleus?