# Magnetic moment of a specimen

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1. Feb 17, 2016

### 1v1Dota2RightMeow

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
$M=\mu Ntanh(x)$
$x=\frac{\mu B}{kT}$

3. 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.

2. Feb 19, 2016

### MisterX

This is just reformatting for you.

3. Mar 20, 2016

### 1v1Dota2RightMeow

How do I format my questions like that?

4. Oct 16, 2016