Potential Induced by a Point Source of Current inside an Infinite Cylindrical Cell,
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 m)a/(sigma 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0756666
Entities
People
- A. Peskoff
- J. D. Cole
- R. S. Eisenberg
Organizations
- University of California, Los Angeles