Matters are composed of a large number of atoms. In general, the magnetic moments of the atoms are randomly oriented and the net magnetic moment in any volume of the material is zero. However, when the material is placed in an external magnetic field, a torque acts on the atomic dipoles and tries to align them parallel to the direction of the field. Thermal motion of atoms frequently changes the orientation and tries to randomize the magnetic moment.
With the increase in magnetic field strength and decrease in temperature, the alignment becomes nearly perfect and the material becomes magnetically saturated.
When a magnetic field is applied to a magnetic material, the material gets magnetized. The actual magnetic field inside the material is the sum of the applied magnetic field and the magnetic field due to magnetization. Hence, magnetic intensity \(\vec{H}\) is defined as:
$$ \vec{H} = \frac{\vec{B}}{\mu_0} - \vec{M} $$
Here, \(\vec{B}\) is the resultant magnetic field and \(\vec{M}\) is the magnetization. The unit of \(H/)is ampere meter\(^{-1}\).
The intensity of magnetization of a material is directly proportional to the magnetic intensity. Thus,
$$ \vec{M} = \chi \vec{H} $$
The proportionality constant \(\chi\) is called the magnetic susceptibility. It is a dimensionless constant.
The permeability of a material is a measure of how easily magnetic field lines can pass through it. It is defined as:
$$ \mu = \frac{B}{H} $$
The magnetic properties of solids mainly arise from the behavior of electrons inside atoms. Electrons move in different ways, and these motions create magnetic dipole moments, which determine the magnetic nature of a material.
In an atom, the total magnetic moment comes from the following sources:
