Abdullahi, Musa Daji
Mechanics / Electrodynamics
July 10, 2014
Acceleration, force, electric charge, field, mass, speed, relativity
An electron of mass m and charge –e moving at time t with velocity v and acceleration (dv/dt) in a straight line, in an electric field of intensity E is under the influence of an impressed force –eE. The moving electron encounters a radiation reaction force –eEv/c = eEv/c, so that the accelerating force is –eE(1 – v/c) = –m(dv/dt). It exhibits radiation power as scalar product –v.(–eEv/c) = eEv2/c and reaches a terminal speed equal to that of light c, whereby the impressed force –eE becomes equal and opposite to the radiation reaction force and the accelerating force reduces to zero.