Degree Type
Thesis
Date of Award
2017
Degree Name
Master of Science
Department
Electrical and Computer Engineering
Major
Electrical Engineering
First Advisor
Nicola Bowler
Abstract
In this paper, an analysis is carried out concerning the behavior of the electric field when a line current is
extracted/injected perpendicularly into a uniaxially anisotropic half-space. Such a solution enables characterization of uniaxially anisotropic materials using alternating current methods. This problem has previously
been solved for the case of an isotropic half space. This paper follows a parallel development to that presented
by Bowler [J. Appl. Phys., 96, 4607-4613, 2004] in which a transverse magnetic potential formulation was
employed to derive an analytic solution for the electric field and alternating current potential drop measured
by a four-point probe in contact with an isotropic half-space conductor. Here, the case when conductivity is
given by a diagonal matrix quantity is treated. This is done by first solving for the electric field in the case of
a single wire, and then using superposition to obtain the electric field on the conductor surface with two wires
representing the current injection/extraction seen in a four-point probe. Finally, an analytical expression for
the potential drop measured between the pick-up pins of the probe is given.
DOI
https://doi.org/10.31274/etd-180810-5700
Copyright Owner
Tyler Douglas Antony
Copyright Date
2017
Language
en
File Format
application/pdf
File Size
35 pages
Recommended Citation
Antony, Tyler Douglas, "Analysis of four-point alternating current potential drop measurements on an anisotropic conductive half-space" (2017). Graduate Theses and Dissertations. 16071.
https://lib.dr.iastate.edu/etd/16071