At present classical electrodynamics consists of two not connected together parts. From one side this of Maxwell equations, which determine wave phenomena in the material media, from other side the Lorentz force, which determines power interaction between the moving charges. Still from the times of Lorenz and Poincare this force is introduced as experimental postulate. And as yet there is no that united basis, which connected together these two odd parts of the electrodynamics. Present article solves this problem on the basis of introduction the concept of scalar-vector potential, which assumes the dependence of the scalar potential of charge on its relative speed. In the article is carried out the analysis of the work of different of the schematics of the unipolar generators, among which there are diagrams, the principle of operation of which, until now, did not yield to explanation. The number of such diagrams includes the construction of the generator, whose cylindrical magnet, magnetized in the end direction, revolves together with the conducting disk. Postulate about the Lorentz force, whom is used for explaining the work of unipolar generators, does not give the possibility to explain the operating principle of this generator. It is shown that the concept of scalar-vector potential, developed by the author, gives the possibility to explain the operating principle of all existing types of unipolar generators. Physical explanation of Lorentz force in the concept of scalar-vector potential is given.