We are trying to prove that there is no radiation (no emission of electromagnetic wave) if charge density p(t, t) and current density j(i, t) is spherically symmetric for any time dependence of them. the following is the outline of the proof. answer to the questions in the outline a function is spherically symmetric, when it depends only on r, but not on angles in the spherica coordinates. thus the charge and current densities can be written as p(r, t) and current density j(r, t) [2-1] write down the differential equations that electromagnetic potentials ф(, t) and a(f, t) i the lorentz gauge satisfy. [5 points) [2-2] are these electromagnetic potentials also spherically symmetric (answer by "yes" or "no s points) explain why [5 points). (hint separation of veriables) [2-3] consider a vector f(r, 'd) in the spherical coordinates. obtain rot f(n , ф) [5 points] (2-4] prove that there is no radiation