The Mathematical Theory of Electricity And Magnetism

Cover The Mathematical Theory of Electricity And Magnetism
The Mathematical Theory of Electricity And Magnetism
Jeans, Sir James Hopwood, 1877-1946
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1. Two small magnets float horizontally on the sur&oe of water, one sdong the direction of the straight line joining their centres, and the other at right angles to it Prove that the action of each magnet on the other reduces to a single force at right angles to the straight line joining the centres, and meeting that line at one-third of its length from the longitudind magnet.
2. A small magnet ACB, free to turn about its centre (7, is acted on by a small fixed magnet PQ, Prove that in equilibr
...ium the axis ACE lies in the plane PQC, and that tan^« -^tan^', where B, B' are the angles which the two magnets make with the line joining them.
3. Three small magnets having their centres at the angular points of an equilateral triangle ABC, and being free to move about their centres, can rest in equilibrium with the magnet at A parallel to EC, and those at B and C respectively at right angles to AB and AC, Prove that the magnetic moments are in the ratios V3 : 4 : 4.
Digitized by Goo^^ 457] Examples 393 4.


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