On the theory of measurement of anisotropic electrical resistivity by flux transformer method

Abstract

A method is developed for computing resistivity tensor from measured current and voltage in the flux transformer method. It is based on the solution of two dimensional Laplace’s equation. A new feature here is the separation of a slowly converging series that generally describes the nonuniform potential distribution inside a rectangular block into rapidly and slowly converging parts. The slowly converging sub series can be calculated exactly, while the rapidly converging one lends itself easily to numerical evaluation. The effects of the finite sizes of current and voltage contacts are also taken into account.