A simple and precise way to determine electrical resistivity of isotropic conductors: Simplifying the four-probe method
Source abstract
Abstract
Numerical simulations via COMSOL Multiphysics software are used to describe the behavior of electrical resistivity of several samples with rectangular shape typically used in the Montgomery method. The simulation data obtained using four isotropic conductors allowed us to understand in detail the behavior of the electric potential and electric field of the samples. The results provide an analytical method, which can substitute the four-probe method with much more simplicity and precision.
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Research context
OpenAlex topics: Surface and Thin Film Phenomena · Non-Destructive Testing Techniques · Microwave and Dielectric Measurement Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Escola de Engenharia de Lorena, Universidade de São Paulo 1 , Lorena-SP 12602-810, Brazil
Instituto Federal de Educação, Ciência e Tecnologia Catarinense 2 , Araquari-SC 89245-000, Brazil
Instituto de Física “Gleb Wataghin,” Universidade Estadual de Campinas 3 , Campinas-SP 13083-970, Brazil
Instituto de Ciências Tecnológicas e Exatas, Universidade Federal do Triângulo Mineiro 4 , Uberaba-MG 38025-180, Brazil
Funding
Fundação de Amparo à Pesquisa do Estado de São Paulo · Conselho Nacional de Desenvolvimento Científico e Tecnológico · Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
References (27)
Show source-provided references
1. The 100th anniversary of the four-point probe technique: The role of probe geometries in isotropic and anisotropic systems10.1088/0953-8984/27/22/223201 ↗
2. Measurement of electrical transport along stretched λ-DNA molecules using the four-probe method10.1016/j.cap.2011.02.019 ↗
3. Single carbon fiber transverse electrical resistivity measurement via the van der Pauw method10.1063/5.0060126 ↗
4. Measurement of the sheet resistivity of a square wafer with a square four-point probe10.1063/1.1717065 ↗
5. Measurement of the resistivity of a thin square sample with a square four-probe array10.1016/0038-1101(77)90130-7 ↗
6. 2007
7. 2007
8. A method of measuring Earth resistivity10.6028/bulletin.282 ↗
9. Four-probe methods for measuring the resistivity of samples in the form of rectangular parallelepipeds10.1134/s0020441215010200 ↗
10. Van Der Pauw method for measuring resistivities of anisotropic layers printed on textile substrates10.1177/0040517511416280 ↗
11. Electrical characteristics of an anisotropic semiconductor sample of circular shape with finite contacts10.1063/1.332054 ↗
12. Philips Res. Rep. · 1958 · 13 · 1
13. Philips Tech. Rev. · 1958 · 20 · 220
14. Method for measuring electrical resistivity of anisotropic materials10.1063/1.1660656 ↗
15. Series for computing current flow in a rectangular block10.1063/1.1660657 ↗
16. Note on four-point resistivity measurements on anisotropic conductors
17. Procedure for measuring electrical resistivity of anisotropic materials: A revision of the Montgomery method10.1063/1.3652905 ↗
18. Simple analytical method for determining electrical resistivity and sheet resistance using the van der Pauw procedure10.1038/s41598-020-72097-1 ↗
19. van der Pauw method for measuring resistivity of a plane sample with distant boundaries10.1063/1.3183503 ↗
20. 1998
21. 2015
22. Electric field distribution and current emission in a miniaturized geometrical diode10.1063/1.4987127 ↗
23. Experimental investigation of E-beam effect on the electric field distribution in cross-linked polyethylene/ZnO nanocomposites for medium-voltage cables simulated by COMSOL Multiphysics10.1186/s40543-022-00326-5 ↗
24. Numerical simulation and exploration of electrocoagulation process for arsenic and antimony removal: Electric field, flow field, and mass transfer studies10.1016/j.jenvman.2018.09.001 ↗
25. Dispersion of toxic gases (CO and CO2) by 2D numerical simulation10.1016/j.asej.2018.03.010 ↗
26. Heat and mass transfer modeling of the osmo-convective drying of yacon roots (Smallanthus sonchifolius)10.1016/j.applthermaleng.2013.10.020 ↗
27. Numerical and experimental analysis of heat and mass transfer in the drying process of the solar drying system10.1016/j.jestch.2020.10.003 ↗