Curie’s law : The magnetization of a paramagnetic material is directly proportional to the external magnetic field and inversely proportional to the absolute temperature of the material.
If a paramagnetic material at an absolute temperature T is placed in an external magnetic field of induction \(\vec {B_{ext}}\), the magnitude of its magnetization
Mz ∝ \(\cfrac{B_{ext}}T\)
∴ Mz = C \(\cfrac{B_{ext}}T\)
where the proportionality constant C is called the Curie constant.
[Notes : (1) The above law, discovered experimentally in 1895 by Pierre Curie (1859- 1906) French physicist, is true only for values of Bext / T below about 0.5 tesla per kelvin.
(2) [C] = [Mz ∙ T] / [Bext] = [L -1I∙@ ] /[MT-2 I-1] = [M-1L-1T2I2@],
where @ denotes the dimension of temperature.]