Sphere of magnetic material in an applied field

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Homework Statement



Consider a sphere of magnetic material with radius R and magnetisation M in an applied field [tex]B_{applied}[/tex]. Find an expression for:

a) the total current flowing around the surface of the sphere;
b) the net field at the centre of the sphere.


Homework Equations



dc24d89951a6d45b451723626c34ba38.png



The Attempt at a Solution



I am totally new to the magnetisation physics, and am having trouble getting to grips with it, any pointers on how to go about solving this?
 
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Answers and Replies

  • #2
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[tex]I=\int J.dS = \int (\nabla \times M).dS = 4\pi R^{2}M[/tex]

Is this correct without [tex]
B_{applied}
[/tex]? If so, what happens when [tex]
B_{applied}
[/tex] is present?
 

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