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mrshneaky
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Homework Statement
[/B]
A cubic block of uniform linear magnetic material is placed in an otherwise uniform magnetic field
Bo = Bo*zˆ. The block lies such that z^ is a normal of the top face.
a)Compute the new H field everywhere.
b)compute the new B field everywhere
Homework Equations
& The attempt at a solution[/B]My solution so far is based on the fact there are no free currents
ie curl(H) = 0
Using:
B = Bo +μo*M (1) (from hyper physics)
H=B/μo -M (2) (from lecture notes)
substituting (1) into (2) I get:
H = Bo/μo
(I'm not sure if this is correct)
computing the B-field then using B=μ*H
I get:
**B**=μr*Bo note: μr is relative permittivty (μ/μo)
I'm not sure if this is correct regarding boundary conditions as M is discontinuous at the boundary of the cube.
ie the div(M) ≠ 0
and since div(H) = -div(M) (this can be shown by taking the divergence of (2) as div(B) = 0)
so div(H) should also not equal zero, however given the H field I calculated that's clearly not the case.
any tips for where I'm going wrong?
thanks in advance!