Bulletin of the Bureau of Standards 2

Cover Bulletin of the Bureau of Standards 2
Bulletin of the Bureau of Standards 2
United States Bureau of Standards
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If such coils are to be used in the absolute measurement of resistance, the formulae employed for computing the mutual inductance must be justified beyond question.
We propose in this paper to examine these formulae and to compare them by numerous numerical calculations. We shall show which are the more accurate formulae, point out where some of them fail, and shall derive some new expressions more convenient to use than some of those which have heretofore been employed. We shall also give a nu
...mber of examples to illustrate and test the formulae, and curves to show the relative accuracy of various formulae for par- ticular coils at varying distances.
359 360 Bulletin of the Bureau of Standards. Woi- ^. no. 3.
MUTUAL INDUCTANCE OF TWO COAXIAL CIRCLES.
MAXWELL'S FORMULiB IN ELLIPTIC INTEGRALS.
Some of the formulae available give the mutual inductance of two coaxial coils directly in terms of the dimensions of the coils, while others derive it from the mutual inductance of two coaxial circles, either by giving the correction to be applied to the latter, or by employing in the formula for the latter a modified radius, or by combining several values for circles in such a way as to give (approx- imately) the value for coils of appreciable cross section.


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