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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(1):87-106; doi:10.1093/qjmam/18.1.87
© 1965 by Oxford University Press
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THE MAGNETIC FIELDS OF SYSTEMS OF CURRENTS CIRCULATING IN A CONDUCTING RING

G. W. CARTER1, S. C. LOH2 and C. Y. K. PO3

( 1University of Leeds
2University of Hong Kong
3University of Leeds )

Toroidal functions are applied to solve mathematically the problem of the magnetic fields of certain systems of currents circulating about an axis in a conducting tore. The following cases are dealt with:

(1) the field of high-frequency current on the surface of a tore;

(2) the field due to current of uniform density on the surface of a tore;

(3) the field of current density within a tore inversely proportional to the distance from the axis;

(4) the field of a uniform current density within a tore.


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