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# F16 PH333 6.4.1-6.4.2

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## Richard Datwyler

on 3 December 2018

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#### Transcript of F16 PH333 6.4.1-6.4.2

Linear and Nonlinear
6.4.1 Susceptibility and Permeability
6.4.2 Ferromagnetism

Linear Media
If the material follows this equality, then it is a linear material
From the H field equation
with
comparison
Use Amperes law, on a solenoid with Current I, having a linear material with susceptibility, find B inside
Find H ( good symmetry)
Then B
If wanted M
and K
Notes
even though in linear media M and H are both parallel to B the divergence of M still exists and hence the divergence of H is still not always zero
Yet we can say there is a relationship between bound and free currents.
Also note that unless free currents actually flow through the material all bound currents will be surface currents.
I flows uniformly down a long straight wire of radius a, if the material is linear with susceptibility, Xm, what is the the B field a distance s from the axis, find all bound currents, and what is the net bound current in the wire?
Ferromagnetism
domain: small areas of dipole alignment
Permanent magnet: domains in same direction
hysteresis loop: path of magnetization from a B field due to current changes
Curie point: temperature when alignment is destroyed
Phase transition: change of phase of material going across curie point
in and out
B then
bound currents
total then
"I'm just a little confused with the hysteresis loop. "
"I'm having a hard time wrapping my head around the domains and how they interact for ferromagnets.
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