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Magnetic moment of a specimen

  1. Feb 17, 2016 #1
    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. jcsd
  3. Feb 19, 2016 #2
    This is just reformatting for you.
     
  4. Mar 20, 2016 #3
    How do I format my questions like that?
     
  5. Oct 16, 2016 #4

    berkeman

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    Staff: Mentor

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