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:

    It can be fairly argued that the highest priority for mankind is to save itself from extinction. However, it can also be argued that a society that neglects its children and robs them of their human potential can extinguish itself without an external enemy.
    Selma Fraiberg (20th century)

    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)

    Wynken and Blynken are two little eyes,
    And Nod is a little head,
    And the wooden shoe that sailed the skies
    Is a wee one’s trundle-bed.
    —Eugene Field (1850–1895)

    All things will be produced in superior quantity and quality, and with greater ease, when each man works at a single occupation, in accordance with his natural gifts, and at the right moment, without meddling with anything else.
    Plato (c. 427–347 B.C.)

    The soul is not a soul,
    Has no secret, is small, and it fits
    Its hollow perfectly: its room, our moment of attention.
    John Ashbery (b. 1927)