Magnet

Linear magnet

A linear magnet whose magnetization is proportional to the magnetic field1, or equivalently

where is the H-field and is the empirically determined magnetic susceptibility, and

The permeäbility of a linear magnet is then

and the magnetic field is related to by

Homogenous linear magnet

In case a volume is occupied by a homogenous linear magnet, i.e. one with constant we have

and so if there is no free current there is also no bound current, meaning all bound current must be found on the surface .


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Footnotes

  1. Note that the electric field includes that caused by the magnet itself.