Magnetic field question

[Johnny5]

Another electrodynamics question.

 

You have an infinitely long cylinder made of linear ferromagnetic material of relative permeability K_m, and you place it into an initially uniform B field. Let the cylinder axis coincide with the z axis, and let the B field point in the x direction, or y direction. CURL H = 0

 

What is the B field inside and outside the cylinder?

 

I want to use cylindrical coordinates, define a scalar magnetic potential inside and outside the cylinder, and get the B field this way if possible, but I am not sure if it can be done this way.

 

If there is a better way I am open to that.

 

Thank you

[Klaynos]

I belive you need to use teh Bio-savat (spelling is very wrong) to work out the B field from the cylinder which would then simply sum with the other uniform field.