Torus topology of the static current loop field
作者:
Stanley Fenster,
期刊:
American Journal of Physics
(AIP Available online 1975)
卷期:
Volume 43,
issue 8
页码: 683-688
ISSN:0002-9505
年代: 1975
DOI:10.1119/1.9750
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
The filamentary current loop of magnetostatics is naturally associated with toroidal topology rather than the usual cylindrical or spherical topology. The field near the wire is best explored in toroidal coordinates, but even the far magnetic dipole field may be found this way. The loop field becomes infinite near the wire just as does the endless straight wire field, but another, not well‐known logarithmic infinity occurs that is proportional to the curvature. We demonstrate these facts and, in addition, mention a certain duality with the electric field of a ring of charge.
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