The System of Equations of Classical Electrodynamics in a Fixed Isotropic Medium

The system of equations of classical electrodynamics for an arbitrary fixed isotropic medium in the linear approximation is derived using the basic experimental results and the theoretical analysis of electro- and magnetostatics (Coulomb ’s law, the law of Biot-Savart and their consequences), the law of conservation of electric charge (the law of Franklin), Ohm’s law, Joule-Lenz law and Umov continuous medium energy transfer results. The theoretical basis of this study is the consistent use of "hidden" symmetry of sources of the electric field and the magnetic field, revealed in previous work. It is shown that the total current law and the electromagnetic induction law can be considered as a consequence of the above well-known physical laws supposing a postulate that the "hidden" symmetry of the classical electrodynamics force fields sources, discovered in electro- and magnetostatics, remains valid for time-varying electromagnetic phenomena.

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