Open AccessThe Energy of Confinement of a Shielded Magnetic Dipole Field
Author(s) -
Carovillano R. L.,
Maguire J. J.
Publication year - 1966
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1966.tb03098.x
Subject(s) - diamagnetism , physics , dipole , magnetic dipole , shielded cable , quantum electrodynamics , magnetic field , force between magnets , condensed matter physics , magnetic energy , classical mechanics , quantum mechanics , magnetization , electrical engineering , engineering
Summary A general theorem is established which determines the interaction energy required to confine a shielded magnetic dipole field by a diamagnetic surface of arbitrary shape. Since Chapman has demonstrated that the joint energy vanishes for this case, we need only evaluate the self energy of the disturbance field. This energy is obtained as the simple point function ‐M. h, sc (0)/2, where M is the dipole moment and h sc (0) is the perturbation field at the position of M due to currents on the confining diamagnetic surface. For a given h sc (0), the interaction energy is independent of the form of the plasma boundary; this result was suggested by Chapman. Several physical examples revealing certain subtleties of the derived theorem are discussed.