Accession Number:

AD0691792

Title:

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

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s):

• Levine,Harold

Report Date:

1969-08-05

Pagination or Media Count:

29.0

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 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

Descriptors:

• (*ELECTRICAL CONDUCTIVITY
• CYLINDRICAL BODIES)
• ELECTRIC CURRENTS
• VOLTAGE
• RECTANGULAR BODIES
• GREEN S FUNCTION
• BOUNDARY VALUE PROBLEMS

Subject Categories:

• Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE