Accession Number:

AD0756666

Title:

Potential Induced by a Point Source of Current inside an Infinite Cylindrical Cell,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

Report Date:

1973-01-01

Pagination or Media Count:

75.0

Abstract:

The potential is determined everywhere inside an infinitely long cylindrical cell, for a point source of current at an arbitrary location in the cell interior. The mathematical techniques used are applicable to a wide variety of physical problems with mixed boundary conditions in cylindrical geometry in which a small parameter appears in the boundary condition. The model for the cell consists of a cylinder of radius a, with an interior of conductivity sigma sub i, surrounded by a thin membrane of conductivity sigma sub m and thickness delta. The cell is bathed in a highly conducting external medium which maintains the outer membrane surface at zero potential. The potential in terms of the small parameter epsilon sigma sub masigma sub i delta. One inner or near-field expansion is valid in a region including the point source, and a second outer or far-field expansion is valid in a region away from the source. Author Modified Abstract

Subject Categories:

  • Theoretical Mathematics
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE