Title
Electric Potential in the Classical Hall Effect: an Unusual Boundary-Value Problem
Document Type
Article
Publication Date
8-1-1998
Publication Title
American Journal of Physics
Department
Physics
Abstract
The classical Hall effect presents a surprisingly unusual and challenging problem in electrostatics, with boundary conditions that are not of Dirichlet, Neumann, or of mixed Dirichlet and Neumann type. These unusual boundary conditions create several difficulties not normally encountered in standard problems, and ultimately lead to expansion of the electric potential in a nonorthogonal basis set. We derive the boundary conditions for the potential in a rectangular geometry, construct a solution for the potential, and discuss the relation between this problem and problems of the standard mixed type. We also address a commonly encountered misconception about the current distribution.
Volume
66
Issue
8
pp.
668-677
ISSN
0084-9812
WorldCat Link
Citation
Moelter, M J, J Evans, G Elliott, and M Jackson. "Electric Potential in the Classical Hall Effect: an Unusual Boundary-Value Problem." American Journal of Physics. 66.8 (1998): 668-676. Print.