Abstract
THE next stage in this mode of elucidation of electrical phenomena is to suppose, once the current is started in our non-dissipative circuit, that both the condensers are instantaneously removed, and replaced by continuity of the wire. We are now left with a current circulating round a complete perfectly conducting channel, which in the absence of viscous forces will flow round permanently. The expression for the kinetic energy in the field is easily transformed from a volume integral of the magnetic force, which is represented by the velocity of the medium , to an integral involving the current which is in the present case a line integral round the electric circuit. The result is Franz Neumann's celebrated formula for the electromagnetic energy of a linear electric current,
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References
Lord Kelvin ( Sir W. Thomson ), Comptes Rendus, September 16, 1889; "Collected Papers," vol. iii., 1890, p. 467.
Lord Kelvin ( Sir W. Thomson ), "Collected Papers," vol. iii., 1890, pp. 436–472.
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A Dynamical Theory of the Electric and Luminiferous Medium1: II. Nature 49, 280–283 (1894). https://doi.org/10.1038/049280a0
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DOI: https://doi.org/10.1038/049280a0