Issues

 / 

2008

 / 

February

  

Methodological notes


An interpretation of the energy conservation law for a point charge moving in a uniform electric field

,
Moscow State Institute of Electronic Technology (Technical University), Zelenograd, Moscow, Russian Federation

The standard interpretation of the energy conservation law accepted in the theory of electromagnetism maintains that a change in the field energy occurring in a volume is the sum of the energy increment in the volume due to the Poynting vector flow and the energy dissipated as heat in the interaction of charge carriers with the medium in which these carriers move. We show that the work done by an external electric field on a moving point charge is due to two sources: the energy arriving at the charge with the Poynting vector flow and a specific channel of energy supply to the charge originating from the interaction of the charge’s field with the external field. Interestingly, at nonrelativistic charge velocities (v≪c), 2/3 of the energy is supplied by the Poynting vector flow and 1/3 by the second channel. In the ultrarelativistic case (vc), all of the energy comes with the Poynting vector flow.

Fulltext pdf (415 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n02ABEH006423
PACS: 03.50.De, 41.20.−q (all)
DOI: 10.1070/PU2008v051n02ABEH006423
URL: https://ufn.ru/en/articles/2008/2/c/
000256729400003
2-s2.0-45149133496
Citation: Gaidukov G N, Abramov A A "An interpretation of the energy conservation law for a point charge moving in a uniform electric field" Phys. Usp. 51 163–166 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Гайдуков Г Н, Абрамов А А «Об интерпретации закона сохранения энергии при движении точечного заряда в однородном электрическом поле» УФН 178 171–174 (2008); DOI: 10.3367/UFNr.0178.200802d.0171

References (1) Cited by (7) Similar articles (20) ↓

  1. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive mediaPhys. Usp. 59 141–152 (2016)
  2. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic fieldPhys. Usp. 52 937–943 (2009)
  3. I.Ya. Brusin “A topological approach to the determination of macroscopic field vectorsSov. Phys. Usp. 30 60–63 (1987)
  4. B.M. Bolotovskii, A.V. Serov “Features of the transition radiation fieldPhys. Usp. 52 487–493 (2009)
  5. G.N. Gaidukov, I.N. Gorbatyy “Electromagnetic analogies in electro- and magnetostatics problemsPhys. Usp. 62 413–420 (2019)
  6. A.M. Dykhne, A.A. Snarskii, M.I. Zhenirovskii “Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuitsPhys. Usp. 47 821–828 (2004)
  7. S.G. Arutyunyan “Electromagnetic field lines of a point charge moving arbitrarily in vacuumSov. Phys. Usp. 29 1053–1057 (1986)
  8. V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuumPhys. Usp. 57 799–806 (2014)
  9. N.A. Vinokurov “Analytical mechanics and field theory: derivation of equations from energy conservationPhys. Usp. 57 593–596 (2014)
  10. V.P. Kazantsev, O.A. Zolotov et alInteraction energy of point electric multipolesPhys. Usp. 68 843–849 (2025)
  11. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting platePhys. Usp. 53 595–609 (2010)
  12. A.A. Kolokolov, G.V. Skrotskii “Interference of reactive components of an electromagnetic fieldSov. Phys. Usp. 35 (12) 1089–1093 (1992)
  13. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic mediaPhys. Usp. 54 145–165 (2011)
  14. H. Paul, R. Fischer “Light absorption by a dipoleSov. Phys. Usp. 26 923–926 (1983)
  15. M.Ya. Agre “Multipole expansions in magnetostaticsPhys. Usp. 54 167–180 (2011)
  16. N.N. Rosanov, R.M. Arkhipov, M.V. Arkhipov “On laws of conservation in electrodynamics of continuous media (on the occasion of the 100th anniversary of the S.I. Vavilov State Optical Institute)Phys. Usp. 61 1227–1233 (2018)
  17. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic wavesPhys. Usp. 51 355–361 (2008)
  18. I.I. Abbasov, B.M. Bolotovskii, V.A. Davydov “High-frequency asymptotic behavior of radiation spectra of moving charges in classical electrodynamicsSov. Phys. Usp. 29 788–796 (1986)
  19. A.M. Dykhne, G.L. Yudin “Stimulated effects upon ’jarring’ of an electron in an external electromagnetic fieldSov. Phys. Usp. 20 80–86 (1977)
  20. I.N. Toptygin, G.D. Fleishman “Eigenmode generation by a given current in anisotropic and gyrotropic mediaPhys. Usp. 51 363–374 (2008)

The list is formed automatically.

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions