The paper focuses on the problem of developing an electrodynamic model of the supercurrent-growing transition stage in the Meissner effect. The London theory giving the quantum-mechanical explanation for the steady superconducting state says nothing about the forces that evoke the electric current in the transition stage. The classical electrodynamics is also inapplicable in the transition stage through the zero forces predicted by Faradey's law. This gap caused the author to look deeply inside the fundamentals of the classical electrodynamics. The analysis is focused on the basic problem of calculating the force on a stationary point charge from a uniformly moving point charge and reveals two arguable assumptions in the classic theory. The first is the extension of Coulomb's law for calculating the force exerted by a stationary charge on a uniformly moving charge. This assumption is in contradiction with the retarded action principle and overlooks the existence of the longitudinal force that might be responsible, in particular, for the Meissner effect and for maintaining the stability of Rutherford's atom. The second assumption about the point-like charges makes the classic formula for Lorentz force physically unsound at normal temperatures when we deal with fermions rather than point charges with zero spin. Therefore a more complex model of the electron should be used, something like a spinning charged ring. One can safely regard free electrons as point charges only for superconductors due to the formation of Cooper pairs. The above considerations have formed the basis of the computing model describing the transition stage in the Meissner effect and explaining the absence of electric current in the system comprising "normal conductor - permanent magnet"