Forces on Magnetic Dipoles
Kirk T. McDonald
Abstract
Kirk T. McDonald
Abstract
Deduce expressions for the force on a permanent Ampèrian magnetic dipole with momentmA (due to a loop of electrical current), and for the force on a permanent Gilbertian magnetic dipolemG (due to a pair of opposite magnetic charges), when the dipoles are (instantaneously at rest in an external electromagnetic field. Experiments have been performed1 to determine whether a neutron [6] has an Ampèrian or a Gilbertian magnetic dipole moment, by studying the interaction of neutrons with mag-netized foils. The conclusion is that the neutron has an Ampèrian magnetic moment. To accommodate this case, your analysis should consider that the test moment m is inside a magnetic material. Consider also the case that the external fields include (possibly time-dependent) electric fields, and comment on “hidden momentum ” [7] of the system. 2
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Deduce expressions for the force on a permanent Ampèrian magnetic dipole with momentmA (due to a loop of electrical current), and for the force on a permanent Gilbertian magnetic dipolemG (due to a pair of opposite magnetic charges), when the dipoles are (instantaneously at rest in an external electromagnetic field. Experiments have been performed1 to determine whether a neutron [6] has an Ampèrian or a Gilbertian magnetic dipole moment, by studying the interaction of neutrons with mag-netized foils. The conclusion is that the neutron has an Ampèrian magnetic moment. To accommodate this case, your analysis should consider that the test moment m is inside a magnetic material. Consider also the case that the external fields include (possibly time-dependent) electric fields, and comment on “hidden momentum ” [7] of the system. 2
Key concepts: Magnetic dipole, Force between magnets, Neutron magnetic moment, Physics, Dipole, Electron magnetic dipole moment, Magnetic moment, Magnetic energy