Is B_n continuous across a boundary in non-uniform magnetic fields?

[good_phy]

Hi.

You know that $$B_{1n} = B_{2n}$$ as one of the boundary condition when

magnetic field is go across from material 1 to material 2, n means direction perpendicular to

the boundary surface.

I wander this theorem is right in non-uniform field which is function of space variable r.

I read prove of this theorem that using limit so i thought this theorem is right only for close

observation point to boundary.


Please assist me.

Thank you

 

[Meir Achuz]

B1n and B2n are the fields just at the interface, but not away from it.
That is what is meant by "boundary condition".