In a recent paper (3) I discussed the slow steady rotation of an insulated axisymmetric solid in a bounded viscous fluid of finite conductivity, there being a uniform magnetic field applied parallel to the axis of rotation. By reducing the small Hartmann number problem to a set of potential type Fredholm integral equations of the first kind, expressions were derived for the frictional couple G on the solid in a number of different geometrical situations. The formulae obtained were in the form of power series in the Hartmann number M together with the lowest order wall correction, the zero-order term in G being the frictional couple G0 for the non-magnetic infinite-fluid problem.