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...

Full description

Saved in:
Bibliographic Details
Main Authors: Angel Cuadras, Victoria J. Ovejas, Herminio Martínez-García
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/1/73
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832588584483291136
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