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Inductors and Transformers.
 Solenoids,
part 1: Introduction. The current-sheet solenoid. Equivalent
current-sheet length. Effective current-sheet diameter. Internal
inductance. Field non-uniformity (Nagaoka's coefficient). Rosa's
round-wire corrections.Part 2: Solenoid inductance calculations. Conductor length. AC resistance. Variable
Inductors. Inductors
with magnetic cores. <rough draft> |
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Electromagnetic
Induction: Current
transformers are discussed in Chapter
6. References
and footnotes. |
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. Background Theory and Experiment .
. Online references (public domain or hosted with permission)
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The Self and Mutual Inductances of Linear Conductors.
E B Rosa. BBS Vol 4, No 2, 1908 (PDF, 1.5MB). The Inductance Coefficients of Solenoids.
H Nagaoka. J. Coll. Sci. Tokyo, Vol 27, 6, 1909 (PDF
1.7MB). 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). Additions to the formulas for the calculation
of mutual and self inductance. F W Grover. BBS, Vol 14,
No 4, July 12, 1919 (PDF, 1MB). Alternating Current Resistance and Inductance
of Single-Layer Coils. C. N. Hickman. BS Sci. 472, 1923 (4.3MB PDF). Formula for the inductance of a helix made with
wire of any section. C. Snow. BS Sci. 537, 1926 (5.74MB 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. A simplified Precision Formula for the Inductance
of a Helix with Corrections for the Lead-in Wires. C
Snow, JBS Vol 9. 1932, p419-426. (PDF 0.5MB). Supplementary information for cited references: Grover
1946: Inductance Calculations: Working formulas and tables. Medhurst
1947: H. F. Resistance and Self-Capacitance of Single-Layer
Solenoids.Acknowledgements: I would like thank the following people: Andy Cowley for library work, helpful discussion and loans and donations of laboratory equipment. Rodger Rosenbaum for reference materials, critical review, and contributions to be found in the documents above. Bob Weaver for reference materials and contributions, particularly in the discussion of computational methods and for writing an making available many useful functions and algorithms. Mark Kennedy (Univ. Trondheim) for critical review and documents I would not otherwise have found. |
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