  There are X-ray pulsating sources that are explained by accretion from disks
around neutron stars. Such disks deserve a detailed analysis. In particular,
the dipole magnetic field of the central star may penetrate the disk, giving
rise to an induced magnetic field inside the disk due to the frozen-in
condition. The growth of the induced field can be limited by the turbulent
diffusion. In the present work, I calculate the induced field in this case. The
problem is reduced to the induction equation to which I have found an
analytical solution describing radial and vertical structures of the induced
field. The radial structure is close to the earlier predicted dependence on the
difference in angular velocities between the magnetosphere and disk, $b \propto
\Omega_{\rm s} - \Omega_{\rm k}$, while the vertical structure of an induced
field is close to the linear dependence on the altitude above the equator, $b
\propto z$. The possibility of the existence of non-stationary quasi-periodic
components of the induced field is discussed.
