Equation of Motion of an Electric Charge

Foundations of Physics 33 (8):1207-1221 (2003)

Abstract
The appearance of the time derivative of the acceleration in the equation of motion (EOM) of an electric charge is studied. It is shown that when an electric charge is accelerated, a stress force exists in the curved electric field of the accelerated charge, and in the case of a constant linear acceleration, this force is proportional to the acceleration. This stress force acts as a reaction force which is responsible for the creation of the radiation (instead of the “radiation reaction force” that actually does not exist at low velocities). Thus the initial acceleration should be supplied as an initial condition for the solution of the EOM of an electric charge
Keywords radiation reaction force  curved electric field  time derivative of the acceleration
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DOI 10.1023/A:1025627024534
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