Decoupling of the Maxwell conditions in as far as possible is examined in Classical Electrodynamics
DOI:
https://doi.org/10.61841/dkvycs55Abstract
In spite of the two clear static endpoints, the magneto-semi static, electro-semi static, and electromagnetic-semi static limits are proven to exist to the extent that the Maxwell conditions are attainable (V c, or L/T c). The first two semi-static endpoints have recently been dubbed Galilean Electromagnetics, while the third has been dubbed the Darwin hypothesis. The vacuum Maxwell conditions are organised by the Rappetti and Rousseaux theory, which gains each of them pretty far using an irritation improvement. To set the circumstances, an adaptation of Jackson's investigation of EM unit frameworks is utilized to determine the dimensionless type of the Maxwell conditions [Jackson, Classical Electrodynamics, Wiley, 1999, third ed.]. The unsettling influence extension finishes the typical condition of the Maxwell conditions to stress the significance of measure conditions. The essential plans of the doable revelations, as well as the additional Coulomb and Biot-Savart standards, are gathered to the furthest degree conceivable. Regardless of the way that the plans are equivalent to static circumstances, the semi-static kinds of Maxwell conditions are recuperated, as indicated by the results. The enlistment length is recovered when the time assistant of the vector potential is held. The current migration will be restored after the current migration has been recovered. Lorenz measure is applied. By many accounts, this cycle resembles Jackson's Darwin surmise allowance [Amer. J. Phys., 70, 917 (2002)]. As far as detectable medium, the semistatic assortments of Maxwell conditions are investigated for their appropriateness.
Downloads
References
Barnett, S. J. (1915), Phys. Rev. 6, 239.
Carson, J. R. (1927), Bell System Technical Journal 6 (1), 1.
Castellanos, A. (2014), Electrohydrodynamics, Vol. 380 (Springer).
Darwin, C. (1920), Phil. Mag. 39, 537.
De Montigny, M., F. Khanna, and A. Santana (2003), International Journal of Theoretical
Physics 42 (4), 649.
Eichenwald, A. (1903), Ann. Phys. 11, 421.
Eichenwald, A. (1904), Ann. Phys. 13, 919.
Einstein, A., and J. Laub (1908a), Ann. Phys. 26, 232.
Einstein, A., and J. Laub (1908b), Ann. Phys. 26, 445.
Einstein, A., and J. Laub (1908c), Ann. Phys. 26, 541.
Einstein, A., and J. Laub (1908d), Ann. Phys. 26, 532.
Griffiths, D. J. (2005), Introduction to electrodynamics (AAPT).
Haus, H. A., and J. R. Melcher (1989), Electromagnetic fields and energy (Prentice Hall).
Heras, J. A. (2010a), European Journal of Physics 31 (5), 1177.
Heras, J. A. (2010b), American Journal of Physics 78 (10), 1048.
Heras, J. A., and G. Báez (2008), European Journal of Physics 30 (1), 23.
Jackson, J. D. (1975), Classical Electrodynamics, 2nd ed. (Wiley, New York).
Jackson, J. D. (1999), Classical Electrodynamics, 3rd ed. (Wiley, New York).
Jackson, J. D. (2002), American Journal of Physics 70 (9), 917.
Jefimenko, O. D. (1966), Electricity and magnetism (Appleton-Century-Crofts).
Krause, T. B., A. Apte, and P. J. Morrison (2007), Physics of plasmas 14 (10), 102112.
Landau, L., and E. Lifschitz (1959), The Classical Theory of Fields (Pergamon Press,
New York).
Le Bellac, M., and J.-M. Lévy-Leblond (1973), Il Nuovo Cimento B (1971-1996) 14 (2),
217.
Lévy-Leblond, J.-M. (1965), Ann. Inst. H. Poincaré 3, 1.
Manfredi, G. (2013), European Journal of Physics 34 (4), 859.
de Montigny, M., and G. Rousseaux (2007), American Journal of Physics 75 (11), 984.
Montigny, M. d., and G. Rousseaux (2006), European Journal of Physics 27 (4), 755.
Purcell, E. (1965), Electricity and Magnetism, 3rd ed. (Berkeley Physics Course,
Reading, Massachusetts).
Rapetti, F., and G. Rousseaux (2011) (IET 8th International Conference on Computation
in Electromagnetics).
Rapetti, F., and G. Rousseaux (2014), Applied Numerical Mathematics 79, 92.
Roentgen, W. C. (1888), Ann. Phys. 35, 264.
Roentgen, W. C. (1890), Ann. Phys. 40, 93.
Rousseaux, G. (2003), in Annales de la Fondation de Broglie, Vol. 28, pp. 261–270.
Rousseaux, G. (2008), Europhysics Letters (EPL) 84 (2), 20002.
Rousseaux, G. (2013), The European Physical Journal Plus 128 (8), 105207.
Rousseaux, G., and A. Domps (2004), Bulletin de l’Union des Physiciens 863.
Rousseaux, G., R. Kofman, and O. Minazzoli (2008), The European Physical Journal D
49 (2), 249.
Turner, M. M., A. Derzsi, Z. Donkó, D. Eremin, S. J. Kelly, T. Lafleur, and T.
Mussenbrock (2013), Phys. Plasmas20, 013507.
Verboncoeur, J. P., M. V. Alves, V. Vahedi, and C. K. Birdsall (1993), Journal of
Computational Physics 104 (2),
321.
Weber, T. A. (1997), American Journal of Physics 65 (10), 946.
Wilson, H. A. (1905), Phil. Trans. R. Soc. Lond. A 204 (372-386), 121.
Wilson, M., H. A. Wilson, et al. (1913), Proc. R. Soc. Lond. A 89 (608), 99.
Wilson, W., and L. Espenschied (1930), Bell Labs Technical Journal 9 (3), 407.
Woodson, H. H., and J. R. Melcher (1968), Electromechanical dynamics (Wiley).
Yee, K. (1966), IEEE Transactions on Antennas and Propagation 14 (3), 302
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Author
This work is licensed under a Creative Commons Attribution 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
