On the Physical Significance of the Helmholtz Theorem in a Static Electromagnetic Field
DOI:
https://doi.org/10.14738/aivp.115.15639Keywords:
Helmholtz theorem, Biot-Savart law, Magnetostatics, Lorentz force, ElectrostaticsAbstract
The study of the static electromagnetic field based on Maxwell's equations and the Helmholtz theorem provides the possibility of understanding the physical reality regarding the phenomena that take place in the examined space of a moving, relative to the laboratory, source of an electrostatic field. Based on this study, the Biot-Savart law is derived and the importance of the generalized electromagnetic equations derived from the theory of the absolute system of reference is demonstrated. An in-depth examination of the structure of the electromagnetic field around a moving uniform linear distribution of charged elementary particles reveals the Biot-Savart magnetic field generation process.
References
Patrinos, K. (2019), The Physics of an Absolute Reference System. Journal of Applied Mathematics and Physics, 7, 431-475.Available: https://doi.org/10.4236/jamp.2019.73033
MARGUERITE M. ROGERS, A. W. MCREYNOLDS AND F. T. ROGERS, Rice Institute, Houston, Texas, A Determination of the Masses and Velocities of Three Radium B Beta-Particles, The Relativistic Mass of the Electron. PHYSICAL REVIEW p. 379-383 March 1 1940, Volume 57 (Received December 1, 1939).
Patrinos, K. (2022). On the Hypothesis of the Absolute Reference System: Theoretical and Experimental Confirmation. New Trends in Physical Science Research Vol. 8, 13-36. https://doi.org/10.9734/bpi/ntpsr/v8/3476B Available: https://www.researchgate.net/publication/362416869_On_the_Hypothesis_of_the_Absolute_Reference_System_Theoretical_and_Experimental_Confirmation
Griffiths, David J. (1999). Introduction to electrodynamics. © 1999, 1989, 1981 by Prentice-Hall, Inc. 3rd ed. ISBN 0-13-805326-X.
Peter Young, (Dated: January 4, 2009). Helmholtz's theorem for vector functions. Physics 110A. Available: https://young.physics.ucsc.edu/110A/helmholtz.pdf 277
L. Landau and E. Lifshitz. The Classical Theory of Fields. Pergamon Press Ltd. (Copyright 1975).
A. P. FRENCH (1968). Special Relativity. THE M.I.T. INTRODUCTORY PHYSICS SERIES, W. W. NORTON & 393 09793 5.
John David Jackson, Classical Electrodynamics, Second Edition, WILEY EASTERN LIMITED, NEW YORK,
Perkins, D.H. (1987), Introduction to High Energy Physics. Addison-Wesley Publishing Company, Inc., Boston.
Patrinos, K. (2019), Classical Quantum Field Theory Based on the Hypothesis of the Absolute Reference System, Journal of Applied Mathematics and Physics, 7, 747-780. Available: https://doi.org/10.4236/jamp.2019.74052
David Morin, Waves (Draft), Lyman 238, 17 Oxford St., Cambridge, MA 02138 Available: https://scholar.harvard.edu/files/david-morin/files/waves_electromagnetic.pdf
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