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Effects of iron on a toroidal conductor

Published online by Cambridge University Press:  17 February 2009

James Caldwell
James Caldwell
Affiliation:
Department of Mathematics and Computer Studies, Sunderland Polytechnic, Sunderland, England
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Abstract

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The effects of iron on the uniformity of the field produced by a current-carrying axisymmetric conductor are considered. Using a perturbation analysis a simple analytic expression is obtained which describes the field close to the axis of symmetry. A Fourier series approach is also used to provide an analytical solution to the problem and the accuracy of the perturbation method is estimated by comparing results.

Type
Research Article
Information
The ANZIAM Journal , Volume 23 , Issue 1 , July 1981 , pp. 103 - 114
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Abramowitz, M. and Stegun, I. A., Handbook of mathematical functions (Dover, New York, 1965).Google Scholar
[2]Boom, R. W. and Livingston, R. S., “Superconducting solenoids”, Proc. I.R.E. (1962), 274–285.CrossRefGoogle Scholar
[3]Garrett, M. W., “Axially symmetric systems for generating and measuring magnetic fields. Part I,” J. Appl. Phys. (1951), 1091–1107.CrossRefGoogle Scholar
[4]McLachlan, N. W., Bessel functions for engineers (Clarendon Press, Oxford, 1961), p. 118.Google Scholar
[5]Watson, G. N., A treatise on the theory of Bessel functions (University Press, Cambridge, 1952), p. 80.Google Scholar