ON THE THEORY OF KIRCHHOFF'S METHOD FOR THE DETERMINATION OF ELECTRICAL CONDUCTIVITY.

Abstract

A measure of unification is achieved for the purpose of analyzing the steady current flows through elongated cylinders of general section. These are activated by a pair of thin electrodes on the end faces and are relevant to a scheme of Kirchhoff for determining the electrical conductivity of homogeneous materials, and is manifest by the central role of a 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 cylinder section. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 05, 1969
Accession Number
AD0691792

Entities

People

  • Harold Levine

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Conductivity
  • Electrical Conductivity
  • Electrodes
  • Materials
  • Physical Properties
  • Two-Dimensional Materials

Fields of Study

  • Mathematics

Readers

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