Problem 3.278

A round current-carrying loop lies in the plane boundary between magnetic and vacuum. The permeability of the magnetic is equal to $\mu$. Find the magnetic induction $\mathbf{B}$ at an arbitrary point on the axis of the loop if in the absence of the magnetic the magnetic induction at the same point becomes equal to $\mathrm{B}_{0}$. Generalize the obtained result to all points of the field.