An Analysis of Mutual Inductance between the Skewed Conductors

Two straight conductors are not always parallel and are often skewed. F. F. Martens and G. A. Campbell studied on mutual inductance between the skewed conductors in detail. Martens found the shortest distance between them geometrically and calculated mutual inductance according to Neumann's formula. Developing the investigation of Martens, Campbell proposed the graphical solution of mutual inductance by means of the diagram of conforcal ellipses. In their analyses, it is necessary to find the shortest distance between the skewed conductors. It is difficult, beyond our expectations, to find the shortest distance. Therefore, the formulas to calculate mutual inductance without finding the shortest distance are derived.

sharp crested weir

upstream head to weir-height ratio

critical depth to weir-height ratio

downstream head to critical depth ratio