ON THE THEORY OF KIRCHHOFF'S METHOD FOR THE DETERMINATION OF ELECTRICAL CONDUCTIVITY.
STANFORD UNIV CALIF DEPT OF MATHEMATICS
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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 Greens 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 Greens function formalism is brought out with specific numerical details in the respective cases of circular and square cylinder section. Author
- Electricity and Magnetism