ERIC Number: EJ1163223
Record Type: Journal
Publication Date: 2017
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
EISSN: N/A
van der Pauw's Theorem on Sheet Resistance
Bolt, Michael
PRIMUS, v27 n8-9 p792-800 2017
The sheet resistance of a conducting material of uniform thickness is analogous to the resistivity of a solid material and provides a measure of electrical resistance. In 1958, L. J. van der Pauw found an effective method for computing sheet resistance that requires taking two electrical measurements from four points on the edge of a simply connected sample of material. In this article we give a statement and proof of the van der Pauw theorem using ideas from complex variables. We also include details of a demonstration of the method for finding the sheet resistance of a stainless steel shim using typical equipment in a physics laboratory.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Physics, Validity, Mathematical Logic, Problem Solving, Engineering, Scientific Concepts, Equipment
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A