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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 60

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 60
charge— e at — a, 0, 0, so that the distance of the charges is 2a. The potential is e e \/{x - ay + 2/ + 2^^ \/(^ + ay + y + z^ and when a is very small, so that squares and higher powers of a may beneglected, this becomes 2eax If a is made to vanish, while e becomes infinite, in such a way that2ea… … Fig. 18. or, if we turn to polar coordinates and write x = r cos 0, is /LfcCOS 0 /yS .(24). The lines of force are shewn in fig. 18. Obviously the lines at thecentre of this figure become identical with those shewn in fig. 17, if thelatter are shrunk indefinitely in size. 4—2 52…

Electricity · Magnetism

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