A physical model is developed for the disturbance process of magnetic field in metallic powder media shock-induced by the conductivity waves. The good agreement of the theory with the experimental data on compacting the aluminum powder in the presence of magnetic field caused by a current ring is shown. It is found that a magnetic field disturbance includes information about the shock wave front structure. Such information allows one to determine the shock-wave loading parameters and the conditions of obtaining maximum magnetic field compression by shock-induced conductivity wave.