All Problems

Constant Magnetic Field, Magnetics

Problem 3.273

The magnetic induction in vacuum at a plane surface of a uniform isotropic magnetic is equal to \(B\), the vector \(\mathbf{B}\) forming an angle \(\alpha\) with the normal of the surface. The permeability of the magnetic is equal to \(\mu\). Find the magnitude of the magnetic induction \(B^{\prime}\) in the magnetic in the vicinity of its surface.

Reveal Answer
B=Bμ2sin2α+cos2αB^{\prime}=B \sqrt{\mu^{2} \sin ^{2} \alpha+\cos ^{2} \alpha}