Charging and Discharging a Capacitor: A Case Study in Solving Differential Equations with Separable Variables
Synopsis
This article looks at the mathematical modelling of an electrical circuit that involves charging and discharging a capacitor. It is a great way to understand and solve first-order differential equations with separable variables. First, how to solve separable dif-ferential equations is explained. Second, a detailed derivation of the associated differ-ential equations for discharging and charging are presented, followed by analytical so-lutions. This study shows how important mathematical ideas are used in solving real-world problems, especially in electrical engineering.
Downloads
Pages
130-137
Published
August 14, 2025
Copyright (c) 2025 Viktoria Juteršek, Laureano Schofs, Patricija Lap, Matevž Arko, Boštjan Korenjak, Aleš Iglič; Veronika Kralj-Iglič (Urednik zbornika); Tomaž Prelog, Biljana Grčar Kuzmanov, Marko Kavčič, Janez Jazbec, Monika Jenko, Pavle Simić, Maja Ovsenik, Nataša Poklar Ulrih, Nelson Gomes, Jan Gnidovec, Maja Gnidovec, Lucia M. Bianconi ; Yelena Istileulova (Urednik zbornika); Larissa Mukhamejanova, Mojca Amon, Boštjan Kocjančič, Jasna Majstorović, Vladimira Erjavec, Alenka Nemec Svete, Mojca Debeljak, Luka Irenej Pečan, Andrea Vornoli, Luisa Pozzo, Tine Oblak, Gašper Tavčar, Maja Ponikvar-Svet; Anna Romolo (Urednik zbornika); Sergio Sánchez Bruni, Marko Jeran, Cafuta Kristijan, Sadguna I Gde Made Indra, Desiari Made Ayu
How to Cite
Kristijan, C. (2025). Charging and Discharging a Capacitor: A Case Study in Solving Differential Equations with Separable Variables. In V. Kralj-Iglič, Y. Istileulova, & A. Romolo (Eds.), Socratic Lectures 13th International Symposium, Ljubljana, June 6, 2025 (pp. 130-137). University of Ljubljana Press. https://doi.org/10.55295/PSL.13.2025.15
