Consider a simple spherical wave, with omega/k=c
E(r, theta, phi, t)=((A sin theta)/r)(cos(kr - omega t) -(1/kr)sin(kr - omega t)) phi-hat
i) Using Faraday's law, find the associated magnetic field B
ii) Show that E obeys the remaining three of Maxwell's equations
The Attempt at a Solution
It's part b I am stuck on. I tried to prove it obeys div E=ro/epsilon0
I tried to do div E in spherical coordinates but I don't know how to when I don't know how to differentiate it with respect to phi because the equation given for E doesn't contain phi. i also don't know how ro is related to any of the terms in the equation for E. Please help.