Geometrical mean distances of rectangular areas and the calculation of self-inductance

Geometrical mean distances of rectangular areas and the calculation of self-inductance

Year: 1907

The author first gives Weinstein's and Stefan's formulae for the self-inductance of a circular coil of wire of rectangular section. The method of calculating the correction for the self-inductance of insulated round wire is next considered, and Maxwell's correction, which has been re-computed by Chree, is adopted. Maxwell stated that the geometrical mean distance of two squares side by side is 0.99401 times the distance between their centres. The author, by calculating on the lines laid down by A. Gray (/b vide/"Absolute Measurements," vol. ii., part i., p. 288), finds that the number should be 1.0065498. He next calculates the geometric mean distance of other squares in%