The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 276
Fm. 85. Fig. 86. 316, 317] Conjugate Functions 267 This ti-ansformation gives the field in the immediate neighbourhood oftwo conducting planes meeting at right angles in any field of force. It alsogives the field between two coaxal rectangular hyperbolas. … Fig. 87. ?i = 1^. This gives x + iy = (U + iVf, so that w=^U-V-, y = 2UV,and on eliminating U we obtain Thus the equipotentials are confocal and coaxal parabolic cylinders, in-cluding as a special case (F = 0) a semi-infinite plane bounded by the lineof foci. This transformation clearly gives the…
Electricity · Magnetism
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