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A Relativistic Consideration of Kinematic Magnetic and Electric Fields

Received: 22 October 2018     Accepted: 8 November 2018     Published: 26 December 2018
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Abstract

Kinematic fields arise due to a uniform movement (constant velocity) of a permanent magnet or an electric charge. Previous experimental and theoretical results for the classical approximation demonstrate that kinematic fields do not propagate in a wave-like manner, but move like a rigid body synchronously with their source. In this paper a further analysis of kinematic fields, taking into account special relativity theory is presented. Despite the appearance of a new feature, the previous conclusions are upheld for the relativistic case. A complete mathematical study irrefutably proves the non-wave nature of the field movement along with its carrier.

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 4, Issue 4)
DOI 10.11648/j.ijamtp.20180404.11
Page(s) 91-97
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Moving Permanent Magnet, Moving Charge, Relative Motion, Faraday’s Law, Ampere-Maxwell Law, Lorentz Force and Biot-Savart Force, Special Relativity, Wave Equation

References
[1] A. P. French, Special Relativity. Thomas Nelson & Sons, Great Britain (1981).
[2] Rowland H., “On the Magnetic Effect of Electric Convection”, American Journal of Science, Vol. XV, No. 3, 30-33, (1878).
[3] Eihenwald A. A., “Izbrannye raboty – Selected works,” Physico-matematicheskaja literatura, Moscow, (in Russian), (1956)
[4] Zajev N. E. and Dokuchajev V. I., Electrotechnika (Electrical Engineering, in Russian) 11, 64 (1964).
[5] Leus V. A. and Zatolokin V. N. “The magneto-kinematical effect”. IJEEE 43 (4), 245 (2006).
[6] Leus V. and Taylor S., “On the motion of the field of a permanent magnet”, Eur. J. Phys., Vol. 32, No 5, 1179-1192, (2011).
[7] Taylor, S., and Leus, V. A. “The magneto-kinematic effect for the case of rectilinear motion”. Eur. J. Phys., Vol. 33, No 4, 837-852, (2012).
[8] Leus V. and Taylor S.., “Experimental Evidence for the Magneto-kinematic Effect”, PIERS Proceedings, (Moscow), pp.1040-1048 (August 2012).
[9] Leus, V. A. “The magneto-kinematical and electro-kinematical fields”. Progress In Electromagnetics Research M, Vol. 32, 27-41, (2013)
[10] Jackson J. D., “Classical Electrodynamics” (3 Ed), John Wiley & Sons, New York, (1999).
[11] Grant I. S. and Phillips W. R., “Electromagnetism” 2nd edn, John Wiley & Sons, Chichester, (1998).
[12] Leus V. A. “Triplet paradox in special relativity and discrepancy with electromagnetism”, American Journal of Modern Physics, Vol. 4, № 2-1, (2015).
[13] Daniel Fleisch, “A student’s Guide to Maxwell’s Equations”, Cambridge University Press, (2008).
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  • APA Style

    Vladimir Alexandr Leus, Stephen Taylor. (2018). A Relativistic Consideration of Kinematic Magnetic and Electric Fields. International Journal of Applied Mathematics and Theoretical Physics, 4(4), 91-97. https://doi.org/10.11648/j.ijamtp.20180404.11

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    ACS Style

    Vladimir Alexandr Leus; Stephen Taylor. A Relativistic Consideration of Kinematic Magnetic and Electric Fields. Int. J. Appl. Math. Theor. Phys. 2018, 4(4), 91-97. doi: 10.11648/j.ijamtp.20180404.11

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    AMA Style

    Vladimir Alexandr Leus, Stephen Taylor. A Relativistic Consideration of Kinematic Magnetic and Electric Fields. Int J Appl Math Theor Phys. 2018;4(4):91-97. doi: 10.11648/j.ijamtp.20180404.11

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  • @article{10.11648/j.ijamtp.20180404.11,
      author = {Vladimir Alexandr Leus and Stephen Taylor},
      title = {A Relativistic Consideration of Kinematic Magnetic and Electric Fields},
      journal = {International Journal of Applied Mathematics and Theoretical Physics},
      volume = {4},
      number = {4},
      pages = {91-97},
      doi = {10.11648/j.ijamtp.20180404.11},
      url = {https://doi.org/10.11648/j.ijamtp.20180404.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20180404.11},
      abstract = {Kinematic fields arise due to a uniform movement (constant velocity) of a permanent magnet or an electric charge. Previous experimental and theoretical results for the classical approximation demonstrate that kinematic fields do not propagate in a wave-like manner, but move like a rigid body synchronously with their source. In this paper a further analysis of kinematic fields, taking into account special relativity theory is presented. Despite the appearance of a new feature, the previous conclusions are upheld for the relativistic case. A complete mathematical study irrefutably proves the non-wave nature of the field movement along with its carrier.},
     year = {2018}
    }
    

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    AU  - Vladimir Alexandr Leus
    AU  - Stephen Taylor
    Y1  - 2018/12/26
    PY  - 2018
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    T2  - International Journal of Applied Mathematics and Theoretical Physics
    JF  - International Journal of Applied Mathematics and Theoretical Physics
    JO  - International Journal of Applied Mathematics and Theoretical Physics
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    AB  - Kinematic fields arise due to a uniform movement (constant velocity) of a permanent magnet or an electric charge. Previous experimental and theoretical results for the classical approximation demonstrate that kinematic fields do not propagate in a wave-like manner, but move like a rigid body synchronously with their source. In this paper a further analysis of kinematic fields, taking into account special relativity theory is presented. Despite the appearance of a new feature, the previous conclusions are upheld for the relativistic case. A complete mathematical study irrefutably proves the non-wave nature of the field movement along with its carrier.
    VL  - 4
    IS  - 4
    ER  - 

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Author Information
  • Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool, UK

  • Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool, UK

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