Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1. J. Franklin and D. J. Griffiths, “ The fields of a charged particle in hyperbolic motion,” Am. J. Phys. 82, 755763 (2014). All figure and equation numbers refer to this paper.
2.The connecting field comes from the infinitesimally brief moment when the motion transitions from uniform velocity to hyperbolic. In J. J. Thomson's classic model of a charge that starts or stops ( E. M. Purcell and D. J. Morin, Electricity and Magnetism, 3rd ed. ( Cambridge U.P., Cambridge, 2013), Sect. 5.7), the velocity is discontinuous, so the acceleration is a delta function. In our case, the acceleration is discontinuous, and the delta function is in the jerk. But the Liénard–Weichert field [Eq. (2)] does not explicitly involve the jerk, and it does not pick up a delta function. We thank D. Cross for this observation.
3.For further details, see J. Franklin, “ Electric field of a point charge in truncated hyperbolic motion,” e-print arXiv:1411.0640v3.
4.Cross has also shown how one can obtain the “extra” delta-function term directly from the Liénard–Weichert construction, without truncating the hyperbolic motion. See D. J. Cross, “ Completing the Liénard–Weichert potentials: The origin of the delta function for a charged particle in hyperbolic motion,” Am. J. Phys. (accepted); e-print arXiv:1409.1569.

Data & Media loading...


Article metrics loading...



There is no abstract available for this article.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd