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Rosa's mutual inductance correction for the round-wire solenoid.
David W Knight. April 2010.
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Download the full article: Rosa_km.pdf
(version 1.00) + Open document spreadsheet: Rosa_km.ods . Abstract: Rosa's mutual inductance correction, used for obtaining round-wire solenoid inductance from the corresponding current-sheet inductance, is difficult to calculate and is traditionally given in tabular form. This article describes accurate approximation formulae which have been fitted to the tabulated data and to a recent exact calculation given by Robert Weaver (see below). A formula given in 2006, before the new calculations became available, is found to fulfil its original accuracy claims but is improved by further parameter adjustment. A truncated series formula given by Grover in 1929 is accurate for large N, but inaccurate for small N. Restoration of the N=1 boundary condition and extension of the series provides a one-line formula which is accurate to within ±0.000 000 013. >>> Full article: Rosa_km.pdf . Cited documents available:  Investigation of Rosa's round-wire mutual inductance
correction for the solenoid inductor. by Robert S. Weaver
(electronbunker.sasktelwebsite.net),
July 2008 (PDF). Formulas
and Tables for the Calculation of Mutual and Self Induction.
E B Rosa & F W Grover, 3rd edition 1916, with 1948 corrections.
BS Sci.169. (15MB PDF). Comparison of Formulas for the Calculation of
Inductance of Coils and Spirals Wound with Wire of Large Cross-Section.
F W Grover, JBS Vol 3. 1929. RP90. |
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