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

@article{Padmanabhan2009ASD,
  title={A simple derivation of the electromagnetic field of an arbitrarily moving charge},
  author={Hamsa Padmanabhan},
  journal={American Journal of Physics},
  year={2009},
  volume={77},
  pages={151-155}
}
  • H. Padmanabhan
  • Published 23 October 2008
  • Physics
  • American Journal of Physics
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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* Electronic address: hamsa.padmanabhan@gmail.com; Address for correspondence: 8, Akashganga

    use of the library facilities at IUCAA, Pune. I am supported by the Kishore Vaigyanik Protsahan Yojana (KVPY) fellowship programme of DST