Calculation of electrical circuit inductance

(Joseph-Henri Lévy)
Determining the inductance of a coil can be necessary when restoring vintage radios or for understanding their design. There are no analytical formulas that give the exact value of the inductance. That's why at the beginning of the 20th century, the first approximate calculation tools based on tables or empirical formulas appeared and gave satisfactory results for common needs. The arrival of digital calculators has enabled the rapid, precise, and adapted determination of mutual inductance and self-inductance for the most diverse coil shapes.

Tools

Determining the inductance of a coil can be necessary when restoring vintage radios or for understanding their design. There are no analytical formulas that give the exact value of the inductance. That's why at the beginning of the 20th century, the first approximate calculation tools based on tables or empirical formulas appeared and gave satisfactory results for common needs. The arrival of digital calculators has enabled the rapid, precise, and adapted determination of mutual inductance and self-inductance for the most diverse coil shapes.

Sources and references


[ 1] Frederick W. GROVER, "Inductance calculation", Dover Publications, Inc., New York 1946, 2001

[ 2] T. Lyle, "On the Self-Inductance of Circular Coils of Rectangular Section," Philosophical Transactions, vol. 213A, (1913) pp. 421-435

[ 3] R G MEDHURST, "H. F. Resistance and Self-Capacitance of Single-Layer Solenoids", (GEC Research Labs.). Wireless Engineer, February 1947 p35-43, March 1947 p80-92.

[ 4] H Nagaoka, Journal of the College of Science, Imperial University, Tokyo, Japan. Vol XXVII, Article 6, p1-33, 1909

[ 5] F. E. TERMAN, "Radio Engineer's Handbook", McGraw-Hill, New York, 1943.

[ 6] Butterworth 1915: S. Butterworth, "On the Coefficients of Self and Mutual Induction of Coaxial Coils," Philosophical Magazine, vol. 29 (1915), pp. 578-592

[ 7] Dwight, 1918: Dwight, Electrical World 71, p. 300 (1918). Formulas for long coils.

[ 8] Grover 1922b: Frederick W. Grover, "Formulas and tables for the calculation of the inductance of coils of polygonal form," Sci. Pap. #468, Scientific Papers of the Bureau of Standards 18, 737-762 (1922).

[ 9] Lyle, 1914: T. R. Lyle, "On the self-inductance of circular coils of rectangular section." Philosophical Transactions of the Royal Society of London, Series A, Volume 213 (1914), 421-435.

[10] Rosa 1906: Sci. Pap. #31, Bulletin of the Bureau of Standards 2, 161.

[11] Skilling 1948: H. H. Skilling, Fundamentals of Electric Waves, Wiley, 1948, pp 99-101.

[12] Snow 1952: Chester Snow, "Formulas for Computing Capacitance and Inductance," National Bureau of Standards Circular #544. Circular solenoid of round wire.



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