Magnetic Materials

The magnetization M = dm/dV   is defined as the magnetic dipole moment per unit volume. 

The total current density is due to free and to magnetization current densities.

(SI units)   Gaussian units)
 

This definition is not unique.
 

For linear, isotropic, homogeneous (lih) magnetic materials we have:

(SI units)   (Gaussian units)
 
 
 

for diamagnetic materials,   for paramagnetic materials, permanent magnets are not lih.

Boundary conditions for H:

(SI units),             (Gaussian units),

in general

Energy in Magnetostatics

The magnetostatic energy stored in a charge distribution is given by 

in SI units.

In a linear isotopic, homogeneous material the total work done in establishing the free current distribution is

    or    .