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 (18871968)
“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 (18171862)
“You cannot go into any field or wood, but it will seem as if every stone had been turned, and the bark on every tree ripped up. But, after all, it is much easier to discover than to see when the cover is off. It has been well said that the attitude of inspection is prone. Wisdom does not inspect, but behold.”
—Henry David Thoreau (18171862)
“It was not reason that besieged Troy; it was not reason that sent forth the Saracen from the desert to conquer the world; that inspired the crusades; that instituted the monastic orders; it was not reason that produced the Jesuits; above all, it was not reason that created the French Revolution. Man is only great when he acts from the passions; never irresistible but when he appeals to the imagination.”
—Benjamin Disraeli (18041881)
“Sometimes, because of its immediacy, television produces a kind of electronic parable. Berlin, for instance, on the day the Wall was opened. Rostropovich was playing his cello by the Wall that no longer cast a shadow, and a million East Berliners were thronging to the West to shop with an allowance given them by West German banks! At that moment the whole world saw how materialism had lost its awesome historic power and become a shopping list.”
—John Berger (b. 1926)