The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 220
n a spherical surface can he expressed, at every point of thesurface at which the function is continuous, as a series of rational integralharmonics, provided the function has only a finite number of lines and pointsof discontinuity and of maxima and minima on the surface. Let F be the arbitrary… … Fig. 72. Let PQ be equal to R, so that R^ =/2 + a^ - 2a/cos POQ. We have the identity f- a [fdS_a fdS a \w=f (1^^) 47ra }} R f where the integration is taken over the surface of the sphere, a resultwhich it is easy to prove by integration. A point charge e placed at P induces surface density - -—…
Electricity · Magnetism
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