Fundamental tests of special theory of relativity (STR) are revised. Among crucial tests of the Faraday law we consider the experiment with a nonshielded Trouton-Noble capacitor and the nonconservation of mechanical angular momentum of an isolated charged system. As a new crucial tests of Faraday’s law for open currents, the induction on a coil moving with respect to a static electric charge is outlined. The magnetic model of light propagation in moving media is considered. According to this model the phase velocity of the light wave is affected by the flow but the momentum of particles (photons) is not. Thus, the Fizeau experiment does not corroborate the addition of velocities of STR. A non-interferometric experiment of the Fizeau type represents a crucial test of the magnetic model and of the speed of photons in moving media.