DIRECT CALCULATION OF THE ELECTRIC AND MAGNETIC-FIELDS OF AN ELECTRIC POINT-CHARGE MOVING WITH CONSTANT VELOCITY

Equations for the electric and magnetic fields of a point charge moving with constant velocity are derived from retarded integrals representing solutions of Maxwell's equations for electric and magnetic fields of arbitrary time-dependent charge and current distributions. In contrast to conventional derivations, the derivations presented here are based exclusively on general electromagnetic field equations and do not make use of retarded potentials or relativistic equations. The derivations lead to some notable conclusions concerning the electric and magnetic fields of an arbitrary charge distribution moving with constant velocity.