We study theoretically the magnetic coupling between a superconducting film and a 2DEG by generalizing the theory of Meincke and that of Rammer and Shelankov, correctly taking into account the Hall effect in the 2DEG. The induced voltages are discussed in the magnetic-field regime in which the magnetoresistance is dominated by the SdH oscillations. The results obtained are found to be in good agreement with the experiment of Kruithof et al. We find the modulation of the magnetic field in the 2DEG is larger than previously expected. Copyright © 1995 IOP Publishing Ltd.