Four-point probe measurements of a direct current potential drop on layered conductive cylinders

We have determined the steady state electric field due to direct current flowing via point contacts at the cylindrical surface of a uniformly layered conductive rod of finite length. The solution allows one to use four-point probe potential drop measurements to estimate the conductivity or thickness of the layer assuming that the other parameters are known. The electrical potential in the rod has a zero radial derivative at its surface except at the injection and extractions points. This means that the required solution can be expressed in terms of a Green's function satisfying a Neumann boundary condition. Four-point measurements have been made to demonstrate the validity of theoretical results.