  Effects of magnetic coupling (MC) of a rotating black hole (BH) with its
surrounding accretion disk are discussed in detail in the following aspects:
(i) The mapping relation between the angular coordinate on the BH horizon and
the radial coordinate on the disk is modified based on a more reasonable
configuration of magnetic field, and a condition for coexistence of the
Blandford-Znajek (BZ) and the MC process is derived. (ii) The transfer
direction of energy and angular momentum in MC process is described
equivalently by the co-rotation radius and by the flow of electromagnetic
angular momentum and redshifted energy, where the latter is based on an
assumption that the theory of BH magnetosphere is applicable to both the BZ and
MC processes. (iii) The profile of the current on the BH horizon and that of
the current density flowing from the magnetosphere onto the horizon are given
in terms of the angular coordinate of the horizon. It is shown that the current
on the BH horizon varies with the latitude of the horizon and is not continuous
at the angular boundary between the open and closed magnetic field lines. (iv)
The MC effects on disk radiation are discussed, and a very steep emissivity is
produced by MC process, which is consistent with the recent XMM-Newton
observation of the nearby bright Seyfert 1 galaxy MCG-6-30-15 by a variety of
parameters of the BH-disk system.
