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Magnetism and Molecular Rotation

Published online by Cambridge University Press:  15 September 2014

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§ 1. Consider the induction of an electric current in an endless wire when a magnetic field is generated around it, For simplicity, let the wire be circular and the diameter of its section very small in comparison with that of the ring. The time-integral of the electromotive force in the circuit is 2AM, if A denote the area of the ring and M the component perpendicular to its plane, of the magnetic force coming into existence. This is true whatever be the shape of the ring, provided it is all in one plane. Now, adopting the idea of two electricities, vitreous and resinous, we must imagine an electric current of strength C to consist of currents of vitreous and resinous electricities in opposite directions, each of strength ½C. Hence the time-integrals of the opposite electromotive forces on units of the equal vitreous and resinous electricities are each equal to AM.

§ 2. Substitute now for our metal wire an endless tube of non-conducting matter, vitreously electrified, and filled with an incompressible non-conducting fluid, electrified with an equal quantity, e, of resinous electricity. The fluid and the containing tube will experience equal and opposite tangential forces, of each of which the time-integral of the line-integral round the whole circumference is eAM, if the ring be a circle of radius r; and the effect of the generation of the magnetic field will be to cause the fluid and the ring to rotate in opposite directions with moments of momentum each equal to eAMr, if neither fluid nor ring is acted on by any other force than that of the electromagnetic induction.

Type
Proceedings
Copyright
Copyright © Royal Society of Edinburgh 1899

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References

page 632 note * “On the Simplest Possible,” etc.: “On Continuity in Undulatory Theory,” etc., B. A. Report, 1898.

page 632 note † Dynamical Illustrations of the Magnetic and the Helicoidal Rotatory Effects of Transparent Bodies on Polarised Light.”—Proc. Soy. Soc. Lond., vol. viii., June 1856Google Scholar; Phil. Mag., March 1857.

page 634 note * Phil. Mag., vol. xliv., 1897Google Scholar, “On the Theory of the Magnetic Influence on Spectra,” p. 507, line 3.

page 634 note † Phil. Mag., vol. xliii., 1897, p. 226Google Scholar.