Magnetic Dipole - External Magnetic Field Produced By A Magnetic Dipole Moment

External Magnetic Field Produced By A Magnetic Dipole Moment

In classical physics, the magnetic field of a dipole is calculated as the limit of either a current loop or a pair of charges as the source shrinks to a point while keeping the magnetic moment m constant. For the current loop, this limit is most easily derived for the vector potential. Outside of the source region, this potential is (in SI units)

and the magnetic flux density (strength of the B-field) in teslas is

Alternatively one can obtain the scalar potential first from the magnetic pole limit,

and hence the magnetic field strength (or strength of the H-field) in ampere-turns per meter is

The magnetic field is symmetric under rotations about the axis of the magnetic moment.

Read more about this topic:  Magnetic Dipole

Famous quotes containing the words external, magnetic, field, produced and/or moment:

    All in all, the creative act is not performed by the artist alone; the spectator brings the work in contact with the external world by deciphering and interpreting its inner qualifications and thus adds his contribution to the creative act. This becomes even more obvious when posterity gives its final verdict and sometimes rehabilitates forgotten artists.
    Marcel Duchamp (1887–1968)

    We are in great haste to construct a magnetic telegraph from Maine to Texas; but Maine and Texas, it may be, have nothing important to communicate.
    Henry David Thoreau (1817–1862)

    How sweet I roam’d from field to field
    And tasted all the summer’s pride,
    Till I the Prince of Love beheld
    Who in the sunny beams did glide!
    William Blake (1757–1827)

    Chance arrives unannounced. It emerges, and when it leaves, we are lucky if the changes it has produced are only external.
    Franz Grillparzer (1791–1872)

    A living thing is distinguished from a dead thing by the multiplicity of the changes at any moment taking place in it.
    Herbert Spencer (1820–1903)