1. The problem statement, all variables and given/known data A spherical charge distribution is given by [tex]\rho[/tex] = [tex]\rho_0[/tex][tex]\left([/tex]1-(r^2/a^2)) , (r<= a) [tex]\rho[/tex] = 0, (r> a) a) calculate the total charge Q b) find the electric field intensity E and the potential V outside the charge distribution c) find E and V inside d) show that the maximum value of E is at (r/a) = 0.745 e) the above charge distribution applies roughly to light nuclei. Draw graphs showing [tex]\rho[/tex], E, and V as functions of r/a for calcium (atomic number 20), assuming that [tex]\rho_0[/tex][tex] = 5.0 x 10^25 C/m^2 and a = 4.5 femtometers 2. Relevant equations [\tex]\oint E.da = Q/\epsilon_0[\tex] 3. The attempt at a solution \ Guass'a law and other general equations for E and V were used. I do not think I am close to the correct answer.