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On the theory of Kirchhoff's method for the determination of electrical conductivity

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  • Levine, Harold

Abstract

A measure of unification is achieved for the purpose of analyzing the steady current flows through elongated cylinders of general section which are activated by a pair of small electrodes on the end faces and are relevant to a scheme of Kirchhoff for determining the electrical conductivity of homogeneous materials; and this features, in a central role, the harmonic Green's function which satisfies a Neumann condition on the boundary of an infinitely long duct whose section duplicates that of the appropriate cylinder. The utility of a Green's function formalism is brought out with specific numerical details in the respective cases of circular and square cross-sections.

Suggested Citation

  • Levine, Harold, 1979. "On the theory of Kirchhoff's method for the determination of electrical conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(1), pages 60-69.
    • Handle: RePEc:eee:phsmap:v:96:y:1979:i:1:p:60-69
    DOI: 10.1016/0378-4371(79)90194-8
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