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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.
Inductor resonance and self-resonance experiments .
Self-capacitance of toroidal inductors.
Capacitor standardisation using a reference inductor.

Parallel resonance indicated using a neon tube


. Online references
(Documents in the 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 (1.7 MiB). 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]. (15 MiB).
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] (1 MiB).
Alternating Current Resistance and Inductance of Single-Layer Coils. C. N. Hickman. [BS Sci. 472], 1923, p73-104 + corrections (4.3 MiB).
Resistance of conductors as windings of single layer coils at 150 KHz to 6 MHz.
E L Hall [BS Tech. 330] 1926,
Formula for the inductance of a helix made with wire of any section
. C. Snow. [BS Sci. 537], 1926 (5.74 MiB).
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. (0.5 MiB).

 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 .
Optimising the Q of single-layer air-cored cylindrical coils, Paul Zwicky HB9DFZ .


Web Links
Finite Element Method Magnetics, free fiinite element analysis program by Dr David Meeker (thanks to Dr Duncan Cadd, G0UTY, for the link)
Study of the Method of Geometric Mean Distances Used in Inductance Calculations. H L Seneff, MSc. Thesis, U. Missouri. 1947. (3.8 MiB).
Inductance and loss modelling articles by Alan Payne G3RBJ.


Acknowledgements
Andy Cowley (29th March 1948 - 23rd April 2012, sadly missed) for helpful discussions and for assisting me with references 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.
Dr Mark Kennedy for interesting discussions, critical review, and documents (such as those relating to induction heating) that I would not otherwise have studied.
Richard Craven, for introducing me to the work of Peter Vizmuller (inventor of the folded helical resonator).

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