Evaluate the high-temperature approximation of the partition function of a system of magnetic dipoles to show that

Question:

Evaluate the high-temperature approximation of the partition function of a system of magnetic dipoles to show that the Curie constant $C_{J}$ is given by

\[
C_{J}=\frac{N_{0} g^{2} \mu_{B}^{2}}{k} \overline{m^{2}}
\]

Hence derive the formula (3.9.26).

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