For a Dipole and a Torad (or a Solenoid) I need to find the scalar Potential,phi, Charge Density,rho, and then 4-Electromagnetic Current,J(rho*c,j) where A and J are 4-vectors and a and j are 3-vectors.
-grad^2(phi) + 1/c^2*d/dt(phi) = rho/epsillon0
where grad(A(phi/c,a)) = -1/c^2*d/dt(phi)...