Abstract

The paper is dedicated to one of the greatest breakthroughs in the classical electromagnetic theory connected with the creation of the system of basic equations of Maxwell-Hertz-Einstein of the electromagnetic field according to the special theory of relativity. In 1998 the rotary theory appeared, trying to explain the electromagnetic phenomena from another point of view and to answer to series of questions connected with the basic electromagnetic laws, reaching the same results but giving simpler and direct answers. The present paper is concerned with the complement (the correction) of the Maxwell-Hertz-Einstein system of equations for moving objects with arbitrary speed less than that of light or even equal to it according to the rotary theory. In it the vector of the magnetic field intensity \( \vec{H} \) and the vector of the magnetic flux density \( \vec{B} \) are presented as moments of the vector of the current density of the tangential displacement current \( \vec{j}_{{D_{\tau } }} \), claiming in this way that the magnetic field is a form of a rotating electric field. The final result is a set of electromagnetic equations in fully electrical form, depicting all the electromagnetic phenomena connected with moving objects with arbitrary speeds less or equal to that of light. From these equations the relative transformations of the vector of the current density of the tangential displacement current \( \vec{j}_{{D_{\tau } }} \) and the effective radius-vector \( \vec{R}_{eff} \) are extracted. In this way rotary theory becomes a part of the realistic theories, which are dedicated to the explanation of the electromagnetic phenomena.

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