A discontinuity in the electromagnetic field of a uniformly accelerated charge

@article{Singal2020ADI,
  title={A discontinuity in the electromagnetic field of a uniformly accelerated charge},
  author={Ashok K. Singal},
  journal={Journal of Physics Communications},
  year={2020},
  volume={4}
}
  • A. Singal
  • Published 13 June 2020
  • Physics
  • Journal of Physics Communications
The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the electric field in a source-free region, implying a violation of Gauss law. In order to make the field compliant with Maxwell’s equations everywhere, an additional field component, proportional to a δ-function at the plane of discontinuity, is required. Such a… 

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References

SHOWING 1-10 OF 37 REFERENCES

The Equivalence Principle and an Electric Charge in a Gravitational Field II. A Uniformly Accelerated Charge Does Not Radiate

The electromagnetic field of a charge supported in a uniform gravitational field is examined from the viewpoint of an observer falling freely in the gravitational field. It is argued that such a

A first principles derivation of the electromagnetic fields of a point charge in arbitrary motion

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

The equivalence principle and an electric charge in a gravitational field

It is shown that there is no violation of the strong principle of equivalence in the case of an electric charge either falling freely or supported in a static uniform gravitational field. For a

Poynting flux in the neighbourhood of a point charge in arbitrary motion and radiative power losses

We examine the electromagnetic fields in the neighbourhood of a ‘point charge’ in arbitrary motion and thereby determine the Poynting flux across a spherical surface of vanishingly small radius

Electric field of a point charge in truncated hyperbolic motion

We find the electric field of a point charge in ‘truncated hyperbolic motion’, in which the charge moves at a constant velocity followed by motion with a constant acceleration in its instantaneous

Radiation reaction from electromagnetic fields in the neighborhood of a point charge

From the expression for the electromagnetic field in the neighborhood of a point charge, we determine the rate of electromagnetic momentum flow, calculated using the Maxwell stress tensor, across a

ENERGY BALANCE OF UNIFORMLY ACCELERATED CHARGE

Introduction to Electrodynamics

1. Vector Analysis. Vector Algebra. Differential Calculus. Integral Calculus. Curvilinear Coordinates. The Dirac Delta Function. The Theory of Vector Fields. 2. Electrostatics. The Electrostatic

Completing the Li\'enard-Wiechert potentials: The origin of the delta function fields for a charged particle in hyperbolic motion

Calculating the electromagnetic field of a uniformly accelerated charged particle is a surprisingly subtle problem that has been long discussed in the literature. While the correct field has been

Classical electrodynamics 2nd ed., (Wiley

  • New York,
  • 1975