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The stability of a homopolar dynamo

Published online by Cambridge University Press:  24 October 2008

Edward Bullard
Edward Bullard
Affiliation:
National Physical LaboratoryTeddington
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Abstract

The stability of the self-exciting disk dynamo is considered. If there is no electrical load in parallel with the field coil and no friction at the axle, the dynamo can perform oscillations of constant amplitude about its state of steady motion. Viscous forces on the axle cause the dynamo to settle to a steady motion. A parallel load may have an effect similar to that of viscous forces or may cause the oscillations to grow without limit. With both a parallel load and viscous forces the amplitude of the oscillations is bounded.

Possible analogies between these results and the motion of a body of electrically conducting fluid in a magnetic field are discussed. The main applications are astronomical and geophysical.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 744 - 760
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Bullard, E. C.Vistas in Astronomy (ed. Beer, A.) (London, 1955).Google Scholar
(2)Bullard, E. C. and Gellman, H.Phil. Trans. A, 247 (1954), 213–78.Google Scholar
(3)Chandrasekhar, S.Phil. Mag. (7), 43 (1952), 501–32.CrossRefGoogle Scholar
(4)Chandrasekhar, S.Proc. roy. Soc. A, 217 (1953), 306–27.Google Scholar
(5)Cowling, T. G.Mon. Not. R. astr. Soc. 112 (1952), 527–39.CrossRefGoogle Scholar
(6)Cowling, T. G.The sun (ed. Kuiper, G. P.) (Chicago, 1954).Google Scholar
(7)Plumpton, C. and Ferraro, V. C. A.Mon. Not. R. astr. Soc. 113 (1953), 647–52.CrossRefGoogle Scholar
(8)Schwarzschild, M.Ann. AstroPhys. 12 (1949), 148–60.Google Scholar
(9)Thompson, W. B.Phil. Mag. (7), 42 (1951), 1417–32.CrossRefGoogle Scholar