Electric field distribution within a metallic cylindrical specimen for the case of an ideal twoprobe impedance measurement
Abstract
A closed form analytical solution for the electric field distribution inside a metallic cylindrical disk specimen has been derived for the problem of a twoprobe impedance measurement. A twoprobe impedance measurement can be treated as current injection and extraction by means of source and sink electrodes that are placed on opposite sides of a specimen. The analytical formulation is based on Maxwell's equations for conductors and the derivation has been conducted on the premise of continuum considerations within the specimen. The derived field expressions for axial [E{sub z}(r,z)] and radial [E{sub r}(r,z)] fields are expressed in terms of Bessel series. As an extension to this problem, a semiinfinite solution is also given for the case of an infinitely long cylinder. The analytical solutions thus derived have been verified by computer simulations using a commercially available finite element package. The electric field distributions inside the specimen obtained via analytical and finite element solutions are in excellent agreement with each other. The dependence of skineffect and constriction behaviors on specimen geometry (radius r{sub 0} and thickness t{sub 0}) and contact radius of the electrode (r{sub c}) has been investigated by varying them in a systematic fashion. The skineffect behavior at high frequenciesmore »
 Authors:
 School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)
 Publication Date:
 OSTI Identifier:
 20982710
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Applied Physics; Journal Volume: 101; Journal Issue: 4; Other Information: DOI: 10.1063/1.2405734; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; BESSEL FUNCTIONS; COMPUTERIZED SIMULATION; ELECTRIC CURRENTS; ELECTRIC FIELDS; ELECTRIC IMPEDANCE; ELECTRODES; FINITE ELEMENT METHOD; MAXWELL EQUATIONS; SKIN EFFECT; THICKNESS
Citation Formats
Kelekanjeri, V. Siva Kumar G., and Gerhardt, Rosario A.. Electric field distribution within a metallic cylindrical specimen for the case of an ideal twoprobe impedance measurement. United States: N. p., 2007.
Web. doi:10.1063/1.2405734.
Kelekanjeri, V. Siva Kumar G., & Gerhardt, Rosario A.. Electric field distribution within a metallic cylindrical specimen for the case of an ideal twoprobe impedance measurement. United States. doi:10.1063/1.2405734.
Kelekanjeri, V. Siva Kumar G., and Gerhardt, Rosario A.. Thu .
"Electric field distribution within a metallic cylindrical specimen for the case of an ideal twoprobe impedance measurement". United States.
doi:10.1063/1.2405734.
@article{osti_20982710,
title = {Electric field distribution within a metallic cylindrical specimen for the case of an ideal twoprobe impedance measurement},
author = {Kelekanjeri, V. Siva Kumar G. and Gerhardt, Rosario A.},
abstractNote = {A closed form analytical solution for the electric field distribution inside a metallic cylindrical disk specimen has been derived for the problem of a twoprobe impedance measurement. A twoprobe impedance measurement can be treated as current injection and extraction by means of source and sink electrodes that are placed on opposite sides of a specimen. The analytical formulation is based on Maxwell's equations for conductors and the derivation has been conducted on the premise of continuum considerations within the specimen. The derived field expressions for axial [E{sub z}(r,z)] and radial [E{sub r}(r,z)] fields are expressed in terms of Bessel series. As an extension to this problem, a semiinfinite solution is also given for the case of an infinitely long cylinder. The analytical solutions thus derived have been verified by computer simulations using a commercially available finite element package. The electric field distributions inside the specimen obtained via analytical and finite element solutions are in excellent agreement with each other. The dependence of skineffect and constriction behaviors on specimen geometry (radius r{sub 0} and thickness t{sub 0}) and contact radius of the electrode (r{sub c}) has been investigated by varying them in a systematic fashion. The skineffect behavior at high frequencies is strictly a function of the dimensions of the disk (r{sub 0},t{sub 0}) and is independent of the contact radius of the electrodes (r{sub c}). The constriction behavior, however, is predominantly governed by r{sub c}, although it depends on all three geometric parameters. Lastly, the idea of a limiting thickness (t{sub 0,lim}) and a limiting field profile (E{sub z,lim}{sub z=t{sub 0},lim/2}) is discussed so as to determine the range of applicability of the analytical solutions. The analytical solution derived for the disk shows good agreement with the finite element solutions for all values of t{sub 0}, while the semiinfinite solution is only valid for large values of t{sub 0}.},
doi = {10.1063/1.2405734},
journal = {Journal of Applied Physics},
number = 4,
volume = 101,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}

Note: Fiber optic transport probe for Hall measurements under light and magnetic field at low temperatures: Case study of a two dimensional electron gas
A fiber optic based probe is designed and developed for electrical transport measurements in presence of quasimonochromatic (360–800 nm) light, varying temperature (T = 1.8–300 K), and magnetic field (B = 0–7 T). The probe is tested for the resistivity and Hall measurements performed on a LaAlO{sub 3}–SrTiO{sub 3} heterointerface system with a conducting two dimensional electron gas. 
Measurement technique of electric field using ultraviolet/visible spectroscopy in cylindrical plasmas
The rotation of impurity ion has been measured using ultraviolet (UV) visible spectroscopy in the cylindrical fusion plasma GAMMA 10 to investigate diamagnetic drift and ExB drift. The electric field is estimated with the plasma rotation and ExB drift analysis. Since the detected signal is the line integrated emission, the parametric Abel inversion technique has been developed. In the method, a density profile of impurity ion was assumed. Recently, we can obtain the density profile using collisionalradiative model (CRM) calculation. Then the electric field is obtained independently of that assumption. We present the measurement technique of the electric field usingmore » 
Electrohydrodynamic stability of two cylindrical interfaces under the influence of a tangential periodic electric field
The electrohydrodynamic stability of two cylindrical interfaces influenced by a periodic tangential field is studied. The model allows for general forms of deformations of the interfaces. Two simultaneous ordinary differential equations of the Mathieu type are obtained. The coupled equations are solved by the method of multiple scales and stability conditions are discussed. It is found that the constant tangential field has a stabilizing effect while the tangential periodic field has a stabilizing influence except at resonance points. Graphs are drawn to illustrate the resonance regions in a parameter space. It is also found that the thickness of the jetmore »