Question

The magnetic induction in vacuum at a plane surface of a magnetic is equal to B and the vector B forms an angle θ with the normal n of the surface (Fig. 3.74). The permeability of the magnetic is equal to μ. Find: 

(a) the flux of the vector H through the spherical surface S of radius R, whose centre lies on the surface of the magnetic; 

(b) the circulation of the vector B around the square path Γ with side l located as shown in the figure.

Answer 1

Now vector J non vanishing only in the bottom half of the spare.

Only J_n contributes the surface integral and