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3. 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. <unfinished>

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 >

Induction coil

>> Current transformers are discussed in Chapter 6.

References and footnotes.


. Background Theory and Experiment .

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)

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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