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arXiv · 0810.4246

A simple derivation of the electromagnetic field of an arbitrarily moving charge

Hamsa Padmanabhan
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Abstract

The expression for the electromagnetic field of a charge moving along an arbitrary trajectory is obtained in a direct, elegant, and Lorentz invariant manner without resorting to more complicated procedures such as differentiation of the Lienard-Wiechert potentials. The derivation uses arguments based on Lorentz invariance and a physically transparent expression originally due to J.J.Thomson for the field of a charge that experiences an impulsive acceleration.

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Hamsa Padmanabhan. 2008-10-23. A simple derivation of the electromagnetic field of an arbitrarily moving charge. https://doi.org/10.1119/1.3020758

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