The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 198
0. any positive integer. If we take polar coordinates, so that the two planes TT are ^ = 0, 0 = - , and suppose the charge to be a charge e at the point r, 6,we shall find that charges e at (r, 6), (r, ^ + ~^) ^ ^^ -. at ir.-e), [r.-ie^^)), [r. - [o ^^)) . ..., give zero potential over the planes… … Fig. 61. If R, Q are any two inverse points in the sphere, and P any point on thesurface, we have RP:PQ = OC: OQ, OQ OG so that PQ PR = 0. 00 Thus the image of a charge e at Q is a charge — e ^ at R, or theimage of any point at a distance / from the centre of a sphere of radius ais a charge — ^ at…
Electricity · Magnetism
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