The radial dependence of the electric charge density inside a certain atomic nucleus of radius a is roughly described by the piecewise function: po(1 r?/a?), if r < a p = 0, if r > a where a = 3.4 femtometers. (a) If the nucleus contains 21 protons, what is the value of po? (b) Find E and V outside the nucleus. What are their values at the surface? (c) Find E ad V inside the nucleus. What are their values at the center? (d) In units of a, what is the radial location of the maximum electric field magnitude? (e) Plot |E| and V as functions of r/a for r/a between 0 and 5.