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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 440

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 440
ic shell may be supposed to be ahemisphere of radius a bounded by this circle. The potential at any point on the axis of the circle can readily be found.For at a point on the axis distant r from the centreof the circle, the solid angle <o subtended by thecircle is given by ft) = 27r (1 — cos a)… … Fig. 126. r 1 r^ 1 ^ if r > o, 2/1- 1 /r\2«+ 2n a n^,^i\lL-...H-ir»-:-y-n\ z r 2.4... 271 + ... ...(412), .(413). From this it is possible to deduce the potential at any point in space.Let us take spherical polar coordinates, taking the centre of the circle asorigin, and the axis of the circle…

Electricity · Magnetism

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