# Explain curie law in details

Pierre curie experimentally found that magnetization of a paramagnetic sample is directly proportional to the magnitude of applied external magnetic field

$$\begin{array}{l}left( {{overrightarrow{B}}_{ext}} right)\end{array}$$
and inversely proportional to Temperature (T)

$$\begin{array}{l}Mpropto {{overrightarrow{B}}_{ext}}\end{array}$$

$$\begin{array}{l}Mpropto frac{1}{T}\end{array}$$

$$\begin{array}{l}M=Cfrac{{{overrightarrow{B}}_{ext}}}{T}…(1)\end{array}$$

This is known as curie’s law

C – is curie constant

$$\begin{array}{l}{{overrightarrow{B}}_{ext}}\end{array}$$
– is applied external field

T – Temperature

Curve: For a paramagnetic material M/Mex versus Bext/T