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Engineering Physics

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PRINCIPLES OF MODERN ELECTRODYNAMICS OF MATERIAL MEDIA (Part 1. From electromagnitostatics to the Maxwell equations)
V.P. Makarov, A.A. Rukhadze

This paper is the first part of the series of papers devoted to modern electrodynamics of material media with account of temporal and spatial dispersion. In this part it is shown that from Coulombs’ law follows the equations of electrostatics and from Ampers law follows the equations of magnitostatics. Then, take into account the Faradeys law we show that for varying in time electric and magnetic fields are coupling and are described by the coupling systems of dynamical equations. Supplying this system by the discontinuity equation (by the charge conservation low).we obtain the system of the differential equations for electric and magnetic fields including their sources. Maxwell's equations are not only integrate available at the time of experimental data. Therefore, just as Newton's three laws are the beginning, the axioms or postulates that make up the foundation of the whole of classical mechanics – Maxwell equations in general are a postulate, which forms the foundation of all of electrodynamics, including optics. Key words: Coulombs’ law, Amperes’ law, Faradays’ law, Maxwell equations.

Contacts: E-mail: vpmac@ran.gpi.ru, E-mail: rukh@fpl.gpi.ru

Pp. 12-22.

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