Bulletin of the Bureau of Standards, Vol. 4, 301-344 (1908) Scientific Paper 80 (S80)
Formulae for the self and mutual inductances of straight wires and rectangles are to be found in various books and papers, but their demonstrations are usually omitted, and approximate formulae are often given as though they were exact. The author derives the expressions very simply from Laplace's formula instead of using Neumann's formula, and thus gives a much better physical view of their meaning. He also deduces some interesting new formulae. The assumption is made that the magnetic field has assumed its steady value, and the selfinductance is taken to be equal to the energy stored in the magnetic field divided by half the square of the total current. For the mutual inductance M between two conduct
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