We estimated the magnetic field strength at the horizon radius of black holes, that is derived by the magnetic coupling process and depended on the black hole mass MBH and the accretion rate Ṁ. Our estimation is based on the use of the fundamental variability plane for stellar mass black holes, AGNs and QSOs. The typical values of magnetic field strength on the black hole horizon are appeared at the level of BBH~ 10⁸G for stellar mass black holes and BBH~ 10⁴G for the supermassive black holes. We have obtained the relation pₗ~ ν-1/2b between the intrinsic polarization of the accretion disk radiation and the characteristic frequency of the black hole X-ray variability.
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Piotrovich et al. (2010) studied this question.