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Homework Statement
A magnetic salt obeys the Curie Law
μoM/Bo = C/T
Where M is the magnetization, Bo is the applied magnetic field in the absence of the specimen, C is a constant, and μo is the permeability of free space. The salt is magnetized isothermally from a magnetization M1 to M2. You may assume that the magnetization is uniform over the volume V of the salt. Show that the work of magnetization is:
W = VμoT(M2^{2}M1^{2})/2C
Homework Equations
W = ∫Hdm, from M1 to M2. H= MT/C
The Attempt at a Solution
To start, I use W = ∫Hdm, from M1 to M2. using H = MT/C and integrating, I end up with W = T(M2^{2}M1^{2})/2C. How do I also get μo and V in the numerator, as well as removing the negative sign? What am I missing here?
(not necessarily looking for a blatant answer so much as a nudge in the right direction.)
Cheers.
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