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Equation of Motion of an Electric Charge

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Abstract

The appearance of the time derivative of the acceleration in the equation of motion (EOM) of an electric charge is studied. It is shown that when an electric charge is accelerated, a stress force exists in the curved electric field of the accelerated charge, and in the case of a constant linear acceleration, this force is proportional to the acceleration. This stress force acts as a reaction force which is responsible for the creation of the radiation (instead of the “radiation reaction force” that actually does not exist at low velocities). Thus the initial acceleration should be supplied as an initial condition for the solution of the EOM of an electric charge.

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References

  1. G. A. Schott, Electromagnetic Radiation (Cambridge University Press, Cambridge, 1912).

    Google Scholar 

  2. P. A. M. Dirac, Proc. Roy. Soc. A 167, 148(1938).

    Google Scholar 

  3. F. Rohrlich, Classical Charged Particles (Addison–Wesley, Reading, MA, 1965).

    Google Scholar 

  4. L. D. Landau and E. M. Lifshitz, Classical Theory of Fields, 3rd edn. (Pergamon, New York, 1971).

    Google Scholar 

  5. A. Harpaz and N. Soker, Found. Phys. 31, 935(2001).

    Google Scholar 

  6. R. Fulton and F. Rohrlich, Ann. Phys. 9, 499(1960).

    Google Scholar 

  7. D. G. Boulware, Ann. Phys. 124, 169(1980).

    Google Scholar 

  8. C. Leibovitz and A. Peres, Ann. Phys. 25, 400(1963).

    Google Scholar 

  9. A. Harpaz and N. Soker, Proc. Roy. Soc. A, (physics/0207038).

  10. F. Rohrlich, Am. J. Phys. 68, 1109(2000).

    Google Scholar 

  11. A. Harpaz, Euro. J. Phys. 23, 263(2002).

    Google Scholar 

  12. F. Rohrlich, Ann. Phys. 22, 169(1963).

    Google Scholar 

  13. A. K. Singal, Gen. Rel. Grav. 29, 1371(1997).

    Google Scholar 

  14. A. Gupta and T. Padmanabhan, Phys. Rev. D 57, 7241(1998).

    Google Scholar 

  15. J. D. Jackson, Classical Electrodynamics, 2nd edn. (Wiley, New York, 1975).

    Google Scholar 

  16. A. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd edn. (Addison–Wesley, Reading, MA, 1964).

    Google Scholar 

  17. A. Harpaz and N. Soker, Gen. Rel. Grav. 30, 1217(1998).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Theoretical Physics, Technion, Haifa, Israel

    Amos Harpaz

  2. Department of Physics, Oranim, Tivon, 36006, Israel

    Amos Harpaz & Noam Soker

Authors
  1. Amos Harpaz
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  2. Noam Soker
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Harpaz, A., Soker, N. Equation of Motion of an Electric Charge. Foundations of Physics 33, 1207–1221 (2003). https://doi.org/10.1023/A:1025627024534

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  • DOI: https://doi.org/10.1023/A:1025627024534

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