The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 395
omponent of induction,taken over any surface whatever, vanishes, or in other words (cf § 177), The induction is a solenoidal vector throughout the whole of the magneticfield. J. 25 380 Permanent Mar/netism [CH. XI To prove this let us take any closed surface S in the field, this surfacecutting any… … Fig. 110. Then by Gauss Theorem (§ 409), 11^ 0 .(360), Avhere N is the component of force in the direction of the outward normal toS, acting on a unit pole placed at any point of the surface S. This force,however, is exactly identical with that considered in § 433, and its normalcomponent has been…
Electricity · Magnetism
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