A simple derivation of the electromagnetic field of an arbitrarily moving charge
@article{Padmanabhan2008ASD,
title={A simple derivation of the electromagnetic field of an arbitrarily moving charge},
author={Hamsa Padmanabhan},
journal={American Journal of Physics},
year={2008},
volume={77},
pages={151-155}
}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 Thomson for the field of a charge that experiences an impulsive acceleration.
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