Tables for the Calculation of the Mutual Inductance of Any Two Coaxial Single-Layer Coils

Absolute formulas for the calculation of the mutual inductance of coaxial solenoids, although they are required for work of the great precision necessary in absolute measurements, are not convenient for routine calculations. Series formulas, although simpler, are limited in the range of their convergence, thus requiring the choice of the proper formula for any given problem. The tables and formulas here presented enable the mutual conductance of any two coaxial solenoids whatever to be calculated from a single formula. Examples make clear that a five-figure accuracy may be attained with concentric coils and even with poorly coupled coils the error does not exceed a few parts in ten thousand.