Version 1
: Received: 2 October 2024 / Approved: 3 October 2024 / Online: 3 October 2024 (10:54:37 CEST)
How to cite:
Cuadras, A.; Ovejas, V. J.; Martínez García, H. Entropies in Electric Circuits. Preprints2024, 2024100222. https://doi.org/10.20944/preprints202410.0222.v1
Cuadras, A.; Ovejas, V. J.; Martínez García, H. Entropies in Electric Circuits. Preprints 2024, 2024100222. https://doi.org/10.20944/preprints202410.0222.v1
Cuadras, A.; Ovejas, V. J.; Martínez García, H. Entropies in Electric Circuits. Preprints2024, 2024100222. https://doi.org/10.20944/preprints202410.0222.v1
APA Style
Cuadras, A., Ovejas, V. J., & Martínez García, H. (2024). Entropies in Electric Circuits. Preprints. https://doi.org/10.20944/preprints202410.0222.v1
Chicago/Turabian Style
Cuadras, A., Victoria J. Ovejas and Herminio Martínez García. 2024 "Entropies in Electric Circuits" Preprints. https://doi.org/10.20944/preprints202410.0222.v1
Abstract
The present study examines the relationship between thermal and configurational entropy in two resistors in parallel and in series. The objective is to introduce entropy in electric circuits analysis by considering the impact of system geometry on energy conversion in the circuit. Thermal en-tropy is derived from thermodynamics, whereas configurational entropy is derived from network modelling. It is observed that the relationship between thermal entropy and configurational en-tropy varies depending on the configuration of the resistors. In parallel resistors, thermal entropy decreases with configurational entropy, while in series resistors, the opposite is true. The impli-cations of the maximum power transfer theorem and constructal law are discussed. The entropy generation for resistors at different temperatures was evaluated, and it was found that the con-sideration of resistor configurational entropy change was necessary for consistency. Furthermore, for the sake of generalization, a similar behavior was observed in time-dependent circuits, either for resistor-capacitor circuits or circuits involving degradation.
Keywords
configurational entropy; thermodynamic entropy; constructal law; electric circuit; parallel and series equivalents; maximum power transfer theorem
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.