Answer Happy

I need help with the first two parts a & b
Consider the dynamic electromagnetic potentials created by a dipole of of time-varying strength p(t) = atz: α V(r, t) (3) 4πcor² (t-1) cos A(F, t) = ноа г (4) 4πr Hoa (cos ĐÊ f - sin 06) = (5) 4πr Where a is constant. Note that here à is not time-dependent. (a) Find E(F) and B(r) at t = 0. (b) Prove that these potentials are in the Lorentz gauge. (Hint: ✓ · (f2) = 2 · Ñ ƒ). 0