Numerical Methods for
Inductance Calculation


  1. Rosa, Edward B., Grover Frederick W.; Formulas and Tables for the Calculation of Mutual and Self-Inductance, NBS Scientific Paper No. 169, 3rd Edition, December 1916,

  2. Grover, Frederick W.; Inductance Calculations–Working Formulas and Tables, D. Van Nostrand, 1946; Reprint: Dover, 2004.

  3. Nagaoka, Hantaro; The Inductance Coefficients of Solenoids, Journal of the College of Science, Imperial University, Tokyo, Vol. 27, Article 6, 1909.

  4. Dwight, Herbert B.; Tables of Integrals and other Mathematical Data; Fourth Edition, MacMillan, 1961.

  5. Weaver, Robert; Practical Considerations in The Calculation of Kelvin Functions Ber(x), Bei(x), Ber’(x) and Bei’(x), And Complete Elliptic Integrals K and E, October 2009.

  6. King, Louis V.; On Some New Formulae for the Numerical Calculation of the Mutual Induction of Coaxial Circles, Proceedings of the Royal Society of London. Series A, Vol. 100, No. 702, October 4, 1921, pp. 60-66.

  7. Grover, Frederick W; Methods for the Derivation and Expansion of Formulas for the Mutual Inductance of Coaxial Circles and for the Inductance of Single-Layer Solenoids, NBS Journal of Research, Vol. 1, February 1928, pp. 487-511.

  8. Miller, H. Craig; Inductance Formula for a Single Layer Circular Coil, Proceedings of the IEEE, Vol. 75, No. 2, February 1987.

  9. de Queiroz, Antonio C. M.; Mutual Inductance and Inductance Calculations by Maxwell's Method, March 2003, revised March 2005. Site:

  10. Lundin, Richard; A Handbook Formula for the Inductance of a Single-Layer Circular Coil, Proceedings of the IEEE, Vol. 73, No. 9, September 1985.

  11. Maxwell, James Clerk-; A Treatise on Electricity and Magnetism, Vol. 2, Third Edition,  Dover 1954.

    1. Art. 701, To find M by Elliptic Integrals, pp. 338-340.

    2. Art. 691, On the Geometrical Mean Distance of Two Figures on a Plane, pp. 324-326.

  12. Maxwell, James Clerk-; On the Geometrical Mean Distance of Two Figures on a Plane,  Transactions, Royal Society of Edinburgh, Vol. XXVI.

  13. Rosa, Edward B.; Calculation of the Self-Inductance of Single-Layer Coils, NBS Bulletin, Vol. 2, No. 2, 1907.

  14. Weaver, Robert; Investigation of E.B. Rosa's Round Wire Mutual Inductance Correction Formula,  July 2008.

  15. Knight, David;

    1. Rosa's mutual inductance correction for the round-wire solenoid

    2. Solenoids, Part 1

  16. Wheeler, Harold A.; Simple Inductance Formulas for Radio Coils, Proceedings of the I.R.E., Vol. 16, No. 75, October 1928, pp. 1398-1400.

  17. Wheeler, Harold A.; Inductance Formulas for Circular and Square Coils, Proceedings of the IEEE, Vol. 70, No. 12, December 1982, pp. 1449-1450.

  18. Rosenbaum, Rodger; email correspondence, March 2009.

  19. Snow, Chester; Formula for the Inductance of a Helix Made With Wire of Any Section, NBS Scientific Paper No. 537. Vol. 10, November 1926.

  20. Snow, Chester; A Simplified Precision Formula for the Inductance of a Helix with Corrections for the Lead-In Wires, NBS Journal of Research Vol. 9, RP479, June 1932.

  21. Weaver, Robert; The Inductance of a Helix of Any Pitch, March 2011.

  22. Lorenz, L.: Ueber die Fortpflanzung der Electricität; Annalen Der Physik und Chemie, No. 6, 1879.

  23. Miller, John M.: Electrical Oscillations in Antennas and Inductance Coils; NBS Scientific Paper No. 326, NBS Bulletin, Vol. 14, p677-696, 1919.
    (This paper is not currently referenced in any of my pages, but it's an important early paper dealing with coil self resonance.)

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This page last updated: April 5, 2023
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