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3. Inductors and Transformers.
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• 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. <unfinished> |
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• Electromagnetic
Induction, part 1: Introduction. Electricity and fields.
Magnetic dipoles. Flux linkage. Magnetic induction. Electromagnetic
induction. Self induction. Induced voltage polarity. Part 2: Mutual induction. Reciprocity. < work in progress > |
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>> Current transformers are discussed in Chapter 6. • References and footnotes. |
. Background Theory and Experiment .
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• Effective
radius of a single-layer solenoid. • Rosa's mutual-inductance correction for the round-wire solenoid. • Investigation of Rosa's round-wire mutual inductance correction for the solenoid inductor. by Robert S. Weaver (electronbunker.sasktelwebsite.net), July 2008 (PDF). • Practical considerations in the calculation of Kelvin Bessel functions and complete elliptic integrals K and E. by Robert S. Weaver. Oct. 2009 (PDF) + Inductance Examples (Open Document spreadsheet). • The self-resonance and self-capacitance of solenoid coils. • Self-capacitance of toroidal inductors. • Capacitor standardisation using a reference inductor. |
. Online reference (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. • 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). • 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 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 matter of computational methods. |
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