[math-fun] Lienard–Wiechert potentials

The wikipedia article I cited also gives the equations for the fields. Take beta=0 in those equations (stationary observer) and you will find the fields arise from retarded not instantaneous positions of source charges, and this also happens if the source charges move at constant velocities.. Perhaps the source of ES's confusion is he is thinking of situation where all charges (source and observer) move at equal velocity, i.e. all are stationary in my ref frame.