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The field of current in a thin wire ring

Published online by Cambridge University Press:  06 March 2017

G. W. Carter ,
S. C. Loh  and
C. Y. K. Po
G. W. Carter
Affiliation:
Department of Electrical Engineering, University of Leeds
S. C. Loh
Affiliation:
Department of Electrical Engineering, University of Leeds
C. Y. K. Po
Affiliation:
Department of Electrical Engineering, University of Leeds
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Abstract

A simple expression is derived for the magnetic vector potential of current in a thin ring, in terms of the first derivative of toroidal functions of zero order. The axial and radial field components and the mutual inductance between two wire rings are obtained. These expressions are evaluated on a digital computer and the results are summarized in a series of graphs.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 613 - 619
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

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