Problem 3.274

The magnetic induction in vacuum at a plane surface of a magnetic is equal to \(B\) and the vector \(B\) forms an angle \(\theta\) with the normal \(\mathrm{n}\) of the surface (Fig. 3.74\()\). The permeability of the magnetic is equal to \(\mu .\) Find: (a) the flux of the vector \(\mathbf{H}\) through the spherical surface \(S\) of radius \(R,\) whose centre lies on the surface of the magnetic; (b) the circulation of the vector \(\mathbf{B}\) around the square path \(\Gamma\) with side \(l\) located as shown in the figure.