Abstract
AbstractThe rigorous derivations of the Lorentz-Abraham self electromagnetic force and power are critically confirmed for a charged sphere with arbitrary velocity and the discrepancy between the Lorentz-Abraham force and power equations of motion is confirmed. An important consequence of the rigorous derivations of the electromagnetic force and power of the extended charged sphere with arbitrary velocity is that the integrated self electromagnetic force, and thus the Lorentz-Abraham force equation of motion, is shown to transform as an external force applied to a point mass. However, the rigorous derivations also reveal that the integrated self electromagnetic power, and thus the Lorentz-Abraham power equation of motion, for the relativistically rigid model of the extended charged sphere do not transform as the power delivered to a moving point mass.KeywordsDerivation of Lorentz-Abraham force and power equationsLorentz forceProper-frame equations of motion
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