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Inductors and Transformers.

Solenoid inductance and impedance calculation .

References.

Variable Inductors.

Inductors with magnetic cores. <rough draft>

Electromagnetic Induction
:

Current transformers are discussed in Chapter 6.


Induction coil


. Background Theory and Experiment .

LF effective radius of a single-layer solenoid.
Rosa's mutual-inductance correction for the round-wire solenoid.

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 references (public domain or hosted with permission)

On the Geometrical Mean Distance of two figures in a plane. J C Maxwell, Trans Roy. Soc. Edinburgh, Vol 26, 1872. [Maxwell 1872 GMD]
Calculation of the self-inductance of 1-layer coils
. E B Rosa, BBS Vol 2, No.2, p161-187 [BS Sci. 31]. This is the original paper giving Rosa's method for solenoid inductance, including derivation of the external GMD for current-sheet segments.
The Self and Mutual Inductances of Linear Conductors
. E B Rosa. BBS Vol 4, No 2, 1908 [BS Sci. 80].
The Inductance Coefficients of Solenoids. H Nagaoka. J. Coll. Sci. Tokyo, Vol 27, 6, 1909 (PDF 1.7MB). Note that all of Nagaoka's papers can be obtained from the University of Tokyo repository .
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 [BS Sci. 320] (PDF, 1MB).
Alternating Current Resistance and Inductance of Single-Layer Coils. C. N. Hickman. [BS Sci. 472], 1923, p73-104 + corrections (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).
Methods for the Derivation and Expansion of Formulas for the Mutual Inductance of Coaxial Circles and the Inductance of Single-Layer Solenoids. F W Grover, NBS J. Research, Vol 1, 1928. [BS RP16]. p487-511
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. [BS 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).

 Medhurst 1947: H. F. Resistance and Self-Capacitance of Single-Layer Solenoids.

Grover's 'Inductance Calculations', Supplementary information and errata.
GMDs of equal parralel rectangles. Re-calculation of Grover's tables 1, 2, & 3. Rodger Rosenbaum 2009.

Losses in conductors and inductors: Bibligraphy .

Acknowledgements:
I would like thank the following people:
The late Andy Cowley (sadly missed) for library work, helpful discussion 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 for critical review and documents I would not otherwise have found.

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