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

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

2008-10-23

arxiv.org/abs/0810.4246v1

Am.J.Phys.77:151-155,2009

Physics

Classical Physics

The following article has been accepted by the American Journal of Physics. After it is published, it will be found at http:

Scientific paper

10.1119/1.3020758

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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