- #1
1v1Dota2RightMeow
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- 7
Homework Statement
I'm working on a problem that says that
>If $\varepsilon_{\pm}=\mp (\mu \mu_0 H + k \theta \frac{M}{\mu N} )$ is the energy of the atom of a specimen that can orient itself either parallel or antiparallel in a magnetic field, show that $ \frac{M}{\mu N}= tanh(\frac{1}{kT}( \mu \mu_0 H + k \theta \frac{M}{\mu N}))$.
I'm not really sure how to make the 2 equal.
Homework Equations
$M=\mu Ntanh(x)$
$x=\frac{\mu B}{kT}$
The Attempt at a Solution
I tried setting $\frac{\mu B}{kT}= \frac{1}{kT}(\mu \mu_0 H + k\theta \frac{M}{\mu N})$ but it ended up with $\muB=0$ which can't be true.