Old Inconsistency in Electromagnetism and a Way to Eliminate It

  • Valerij Disan Petushchak V.M.Glushkov Institute of Cybernetics, Kiev, Ukraine
Keywords: Electromagnetism, magnetic force, Ampere’s law, Whittaker’s formula, two-component magnetic field, consistent theory


Classical electromagnetic theory uses axial pseudo-vectors to describe magnetic interactions. It is impossible to explain adequately magnetic interaction at the micro level (elements of conductors and the magnetic interactions of charges) by axial vectors. As a result, the correct form of interactions in classical electrodynamics is only an integral one. The differential formulas for magnetic interactions violate the third Newtons law. In the paper, we use polar vectors (real physical vectors) to describe magnetic interactions. On this way, we show that the real physical magnetic field, in contrast to the solenoidal field of the axial vector magnetic induction B, has two components: a potential field with nonvanishing divergence and a solenoidal field with vanishing divergence. These two fields act separately and independently and have different models of interactions. Doing so, we can write differential form  for the Amperes law obtaining correct formula for the magnetic interactions and adequate interpretation of the Biot-Savart law.


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Petuschak, V., Kozlova, N. and Osyka, B. 2014 Ampere’s law and paradoxical experiments in electrodynamics, Electronics and information technologies. Issue 4. P. 174–175.

Ampère, A. 1826 (in German), Théorie des phénomènes électro-dynamiques, uniquement déduite de l’expérience, Méquignon-Marvis. Retrieved 2010-9-26.

Tamm, I. 1979 Fundamentals of the theory of electricity - Mir publisher, Moscow

Ørsted, H. C. 1820 (in latin) Experimenta circa effectum conflictus electrici in acum magneticam, Typis Schultzinis.

Faraday, M. 1846 Experimental researches of electricity Phil. Trans. R. Soc. Lond. 1846 136, 1-20

Maxwell, J. S. 1873 A Treatise on Electricity and Magnetism vol. 2 Oxford Clarendon press.

Sigalov, R. G. et al.1965 (in Russian) New investigations of magnetomotive forces. (Science Publishing, Tashkent, Uzbekistan)

Pappas, P. T. 1983 The Original Ampere Force and Biot-Savart and Lorentz Forces . Il Nuovo Cimento. 11 Agosto, 1983,V.76 B, ?2, P 189-196.

Grassman, H. 1845 Neue Theorie der Elektrodynamik. Annalen der Physik und Chemie - Bd. 64, ?1– S. 1–18.

Whittaker, E. 1910 A history of the theories of aether and electricity. The classical theories. Thomas Nelson and Sons Ltd, London.

Nikolaev, G. V. 1997 (in Russian) Consistent electrodynamics. Theory, experiments, paradoxes. STL Publishing, Tomsk, Russia.

Korobeynikov,V. 2005 (in Russian) A new kind of electromagnetic radiation. http://n-t.ru/tp/ts/nv.htm

How to Cite
Petushchak, V. (2018). Old Inconsistency in Electromagnetism and a Way to Eliminate It. JOURNAL OF ADVANCES IN PHYSICS, 14(1), 5193-5203. https://doi.org/10.24297/jap.v14i1.6748