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Magnetostatics of axially symmetric structures

D J Craik

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Relations are obtained for the magnetic potentials and magnetostatic energies of single circles of charge and systems of coaxial parallel circles. Results obtained by direct integration (as elliptic integrals) correlate with solutions of Laplace's equation (Bessel function form). Applications to the calculation of the fields from and the forces between magnets and the behaviour of cylindrical domain structures are indicated, and other extensions proposed.


PACS

41.20.Gz Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems

75.50.Ww Permanent magnets

75.60.Ch Domain walls and domain structure

41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems

Subjects

Accelerators, beams and electromagnetism

Condensed matter: electrical, magnetic and optical

Dates

Issue 11 (21 July 1974)

Received 26 February 1974



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