University Physics Notes: Electricity and Electromagnetism - Paramagnetism
In an atom, most of the various orbital and spin magnetic moments
of the electrons add up to zero. For some metals the atom has a net
magnetic moment of the order of
When
the metal is placed in a magnetic field
the
field exerts a torque
on
each magnetic moment given by
which
tend to align the magnetic moments with the field so as to minimise
the potential energy. The net effect is to add to the external
magnetic field.
The additional field
produced
by microscopic electric current loops is proportional to the total
magnetic moment
per
unit volume in the material. This quantity is called the
magnetization of the material and is denoted by![]()
The additional magnetic field due to magnetization of the material
turns out to be equal to
where
When
such a material completely surrounds a current carrying conductor the
total magnetic field
in
the material is
where
is
the field cause by the current in the conductor.
A material displaying the behaviour described is called
paramagnetic .The magnetic field at any point in the material is
greater by a factor
called
the relative permeability of the material. The relative permeability
of a vacuum is 1.
The amount by which the relative permeability differs from 1 is
called the magnetic susceptibility, denoted by
Some
values of
m
for different material are contained in the following table.
|
Material |
|
|
Iron Ammonium Alum |
66 |
|
Uranium |
40 |
|
Platinum |
26 |
|
Aluminium |
2.2 |
|
Sodium |
0.72 |
|
Oxygen Gas |
0.19 |
Some material reduce the electric field in the material to levels below any externally applied filed. Such materials are called diamagnetic.