Chapter 32, Problem 45P

To determine

To show:

a) Magnetization $M=N\mu ·tanh\left(\frac{\mu B}{kT}\right)$

b) Magnetization $M$ for $\mu B\ll kT$ is $M=\frac{N{\mu }^{2}B}{kBT}$

c) Magnetization $M$ for $\mu B\gg kT$ is $M=N\mu$

d) Both (b) and (c) agree qualitatively with figure 32-14.