科研之友
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摘要
The electromagnetic fields of an accelerated charge are derived from first principles using Coulomb's law and relativistic transformations. The electric and magnetic fields are derived for the instantaneous rest frame of the accelerated charge, without using Gauss's law, an approach different from that in the literature. We then calculate the electromagnetic fields for an accelerated charge in non-relativistic motion. The expressions for these fields, supposedly accurate only to first order in the reduced velocity beta, yield all terms for the acceleration fields, and are missing only a factor of 1-beta(2) in the velocity fields. The derivation shows the genesis of various terms in the field expressions when expressed in terms of the time retarded position of the charge. A straightforward transformation from the instantaneous rest frame yields expressions for the electromagnetic fields for a charge with an arbitrary velocity. The field expressions are derived without using Lieacutenard-Wiechert potentials, thereby avoiding the evaluation of spatial and temporal derivatives of these potentials at the retarded time.
- 出版日期2011-10
