Direct current regimes in the linear electric circuits according to the relativistic circuit theory
The paper is dedicated to a missing chapter of the circuit theory, which is connected with the special theory of relativity. It is concerned with the direct current regimes in the linear electric circuits, which are moving with speeds smaller than the speed of light or close to it. In it a series of basic questions, connected with the relativistic forms of the fundamental laws for the electric circuits (Kirchhoff’s current law, Kirchhoff’s voltage law, Ohm’s law, Joule’s law, the energy conservation law), are observed. The relativistic forms of the basic quantities of the electric circuits (currents, voltages, powers) and the relativistic relations of the basic parameters of the circuits (resistances, conductances, capacitances, inductances) are presented, too. These formulas are extracted step by step by the help of Maxwell-Hertz-Einstein system of basic equations of the electromagnetic field, which is applied to fast moving objects (linear electric circuits) with arbitrary velocities less than the speed of light or even close to it. The final results are illustrated by the help of some simple examples about fast moving linear electric circuits. Their analyses are presented step by step in order to show the validity of the received relations.
Einstein, A. (1905). Zur elektrodynamik bewegter körper. Annalen der Physik, 17, 891-921. (in German)
Einstein, A., Laub, J. (1908). Über die elektromagnetischen grundgleihungen für bewegte körper. Annalen der Physik, 331(8), 532-540. (in German)
Feynmann, R., Leighton, R., Sands, M. (1964a). The Feynmann lectures on physics. vol. 1, Addison Wesley Publishing House, Inc.
Feynmann, R., Leighton, R., Sands, M. (1964b). The Feynmann lectures on physics. vol. 2, Addison Wesley Publishing House, Inc.
Kittel, C., Knight, W. D., Ruderman M. A. (1963). Mechanics, Berkeley physics course. vol. I, N. Y., McGraw-Hill Book Co.
Maxwell, J. C. (1873). A treatise on electricity and magnetizm. vol. I, vol. II, Macmillan and co., London, United Kingdom.
Meerovich, E. A. (1966). Methods of the Relativistic Electrodynamics in Electrical Engineering. Moscow, Energia. (in Russian)
Meerovich, E. A., Meierovich, B. E. (1987). Methods of the Relativistic Electrodynamics in Electrical Engineering and in Electrical Physics. Moscow, Energoatomizdat. (in Russian)
Panov, E. I. (2015). Rotary theory of the magnetic field, basics, concepts, methods and models. (Monograph, 148 p.), LAP Lambert Academic Publishing, Germany. ISBN 978-3-659-78098-1
Panov, E. I. (2017a). On the electrodynamics of moving bodies according to the rotary theory. Proceedings of the Second International Scientific Conference "Intelligent Information Technologies for Industry" (IITI'17), Advances in Intelligent Systems and Computing 680, 2, Varna, Bulgaria, 280-289. Springer, (SCOPUS), ISSN 2194-5357, ISSN 2194-5365 (electronic), ISBN 978-3-319-68323-2, ISBN 978-3-319-68324-9 (eBook).
Panov, E. I. (2017b). On another proof of the formula E = m.c2 according to the rotary theory, Annual Journal of the Technical University of Varna, 1(1), 13-20. ISSN 2603-316 (Online).
Pauli, W. Jr. (1958). Theory of relativity. London, Pergamon Press.
Polivanov, K. M. (1982). Electrodynamics of Moving Bodies. Moscow, Energoizdat. (in Russian)
Purcell, E. M. (1965). Electricity and magnetism, Berkeley physics course. vol. II, McGraw-Hill Book Co., N. Y.
Simonyi, K. (1964). Theoretical Electrical Engineering. Moscow, Mir. (in Russian)
Total number of hits on abstract = 59 times
Downloads for 2018
This work is licensed under a Creative Commons Attribution 4.0 International License.