Abdullahi, Musa Daji
Mechanics / Electrodynamics
June 7, 2017
Keywords: Aberration, acceleration, charge, electric field, force, mass, radiation, relativity, velocity
For an electron of mass m and charge –e moving with velocity v and acceleration dv/dt in an electric field of magnitude E, the accelerating force is proposed as vector F = eE(c – v)/c = m(dv/dt), where (c – v) is the relative velocity between the electron and the electrical force propagated at velocity of light c. With F becoming zero where v = c, the electron is accelerated to the speed of light c as a limit. The electron may revolve in a circle with constant speed v. The relativistic mass-velocity formula is correct where an electron moves perpendicular to an electric field, as in circular revolution around a nucleus, and “mass m” in that formula is not a physical quantity but the ratio of electrostatic force –eE to acceleration –v^2/r in a circle of radius r, which becomes infinitely large for rectilinear motion. An electrodynamics is developed for an electron accelerated to the speed of light at constant mass and with emission of radiation, contrary to classical and relativistic electrodynamics. Radiation occurs only if there is a change in kinetic or potential energy of a moving electron. As such, circular motion of an electron in Rutherford's nuclear model of the hydrogen atom, is stabilised without recourse to Bohr's quantum mechanics.