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On the Truncation of Series for the Electrical Current Flow in Rectangular Conducting Sheets

  • General and Applied Physics
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Abstract

This study deals with the simplification and the applicability of the van der Pauw method. The convergence analysis of the infinite series of sums that describe the electrical current flow in a rectangular sheet and its closed form based upon q-Pochhammer symbols are presented. Results from finite-element simulations show that the first term of the infinite series of sums is accurate enough for the experimental determination of the electrical resistivity in thin films, semiconductors, and low-dimensional systems.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was financed in part by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) (No. (2021/03298-7). F.S. Oliveira thanks E. C. Romão for the COMSOL program and C. A. M. dos Santos for the helpful and motivating discussions. The author also thanks the contributions from the reviewer.

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  1. Instituto de Física “Gleb Wataghin, Universidade Estadual de Campinas, Campinas, São Paulo, 13083-859, Brazil

    Felipe Souza Oliveira

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Oliveira, F.S. On the Truncation of Series for the Electrical Current Flow in Rectangular Conducting Sheets. Braz J Phys 52, 206 (2022). https://doi.org/10.1007/s13538-022-01211-7

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