Mathematical analysis of a four‐point conductivity probe for cylindrical samples

Autor:	S. L. Marshall, L. Redey
Rok vydání:	1990
Předmět:	Laplace's equation Materials science Cylindrical harmonics Numerical analysis Mathematical analysis Cylinder Boundary value problem Conductivity Instrumentation Fourier series Rod
Zdroj:	Review of Scientific Instruments. 61:2659-2665
ISSN:	1089-7623 0034-6748
DOI:	10.1063/1.1141856
Popis:	The mathematical analysis of a device for measurement of the conductivity of cylindrical samples is given. This analysis involves calculation of the geometrical factor by evaluating Fourier series of circular and cylindrical harmonics. The results derived are applicable to a wide range of cylindrical samples shapes, including the limiting cases of thin disks and infinitely long rods. Full consideration is given to the finite size of current‐bearing electrodes and deviations from two‐dimensional current distribution that arise when the electrode width is less than the length of the cylinder. The range of sample geometries in which these deviations are significant is determined.
Databáze:	OpenAIRE
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