  We develop a new analytic solution for the steady-state structure of a thin
accretion disc under the influence of a magnetic field that is anchored to the
central star. The solution takes a form similar to that of Shakura and Sunyaev
and tends to their solution as the magnetic moment of the star tends to zero.
As well as the Kramer's law case, we obtain a solution for a general opacity.
The effects of varying the mass transfer rate, spin period and magnetic field
of the star as well as the opacity model applied to the disc are explored for a
range of objects. The solution depends on the position of the magnetic
truncation radius. We propose a new approach for the identification of the
truncation radius and present an analytic expression for its position.
