2. Consider a stationary electron, and pretend you can model it as a little sphere of radius Re. where the "classical charge radius" R. is chosen so that the electron's rest energy me is exactly equal to the electrostatic Coulomb energy stored in the electric field for r > Re. a. Find an expression for R. in terms of fundamental constants. b. Quantum effects become important on the scale of a particle's Compton wavelength: A = h/mc. Find the ratio Ap/Re for the electron. Comment on your result's significance for modeling the electron as a little classical sphere