Electron spin and magnetic permeability

AI Thread Summary
An oscillating magnetic field acting on a paramagnetic material may not cause unpaired electrons to alter their spin at the same frequency, as electrons typically change polarity rather than spin. This distinction suggests that spin is probabilistic in quantum mechanics, complicating its representation in classical electromagnetism. The concept of complex permeability indicates that magnetic permeability varies with frequency, impacting electromagnetic wave propagation through the medium. Higher frequencies, particularly beyond microwave levels, could lead to reflection rather than transmission. Understanding these interactions is crucial for applications in electrical engineering.
wospin
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Well,
This is my first post, I used to read topics here, time to make one!

Consider we have an oscillating magnetic field acting on a paramagnetic material, would this cause the unpaired electrons to alter their spin with the same frequency ?
If so, would this affect the magnetic permeability ?
in other words would it affect EM waves propagating through this medium ?
And what are the equations describing this effect?
 
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Magnetic permeability is not constant but rather changes with frequency, this is called complex permeability, it has some applications in electrical engineering.

as for the equations you can find here
http://en.wikipedia.org/wiki/Permeability_(electromagnetism )

I don't think that the spin will be altered by the same frequency, electrons tend to change their polarity rather than spin, i think spin is indeterminate in QM, so you'll be dealing with probabilistic functions, something that is not representable in classical electromagnetism.
 
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So, if the frequency of the magnetic field oscillation is higher than microwave frequency, would this cause reflection ?
 
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It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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