Entropies in Electric Circuits
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 circuit analysis by considering the impact of system geometry on energy conversion in the circuit. Thermal entropy is...
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MDPI AG
2025-01-01
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Online Access: | https://www.mdpi.com/1099-4300/27/1/73 |
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author | Angel Cuadras Victoria J. Ovejas Herminio Martínez-García |
author_facet | Angel Cuadras Victoria J. Ovejas Herminio Martínez-García |
author_sort | Angel Cuadras |
collection | DOAJ |
description | 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 circuit analysis by considering the impact of system geometry on energy conversion in the circuit. Thermal entropy is derived from thermodynamics, whereas configurational entropy is derived from network modelling. It is observed that the relationship between thermal entropy and configurational entropy 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 implications 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 consideration of resistor configurational entropy change was necessary for consistency. Furthermore, for the sake of generalization, a similar behaviour was observed in time-dependent circuits, either for resistor–capacitor circuits or circuits involving degradation. |
format | Article |
id | doaj-art-d70078c87bab4caf8ef3844c522848fe |
institution | Kabale University |
issn | 1099-4300 |
language | English |
publishDate | 2025-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj-art-d70078c87bab4caf8ef3844c522848fe2025-01-24T13:31:54ZengMDPI AGEntropy1099-43002025-01-012717310.3390/e27010073Entropies in Electric CircuitsAngel Cuadras0Victoria J. Ovejas1Herminio Martínez-García2Electronics Engineering Department (DEEL), Energy, Power and Integrated Circuits (EPIC), Escola d’Enginyeria de Barcelona Est (EEBE), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. d’Eduard Maristany, 16 Edifici A Campus Besòs, 08029 Barcelona, SpainElectronics Engineering Department (DEEL), Energy, Power and Integrated Circuits (EPIC), Escola d’Enginyeria de Barcelona Est (EEBE), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. d’Eduard Maristany, 16 Edifici A Campus Besòs, 08029 Barcelona, SpainElectronics Engineering Department (DEEL), Energy, Power and Integrated Circuits (EPIC), Escola d’Enginyeria de Barcelona Est (EEBE), Universitat Politècnica de Catalunya—BarcelonaTech (UPC), Av. d’Eduard Maristany, 16 Edifici A Campus Besòs, 08029 Barcelona, SpainThe 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 circuit analysis by considering the impact of system geometry on energy conversion in the circuit. Thermal entropy is derived from thermodynamics, whereas configurational entropy is derived from network modelling. It is observed that the relationship between thermal entropy and configurational entropy 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 implications 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 consideration of resistor configurational entropy change was necessary for consistency. Furthermore, for the sake of generalization, a similar behaviour was observed in time-dependent circuits, either for resistor–capacitor circuits or circuits involving degradation.https://www.mdpi.com/1099-4300/27/1/73configurational entropythermodynamic entropyconstructal lawelectric circuitparallel and series equivalentsmaximum power transfer theorem |
spellingShingle | Angel Cuadras Victoria J. Ovejas Herminio Martínez-García Entropies in Electric Circuits Entropy configurational entropy thermodynamic entropy constructal law electric circuit parallel and series equivalents maximum power transfer theorem |
title | Entropies in Electric Circuits |
title_full | Entropies in Electric Circuits |
title_fullStr | Entropies in Electric Circuits |
title_full_unstemmed | Entropies in Electric Circuits |
title_short | Entropies in Electric Circuits |
title_sort | entropies in electric circuits |
topic | configurational entropy thermodynamic entropy constructal law electric circuit parallel and series equivalents maximum power transfer theorem |
url | https://www.mdpi.com/1099-4300/27/1/73 |
work_keys_str_mv | AT angelcuadras entropiesinelectriccircuits AT victoriajovejas entropiesinelectriccircuits AT herminiomartinezgarcia entropiesinelectriccircuits |