International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

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DOI Prefix: 10.47001/IRJIET

Mathematical Analysis of Specific Capacitance for Energy Storage Devices: Theories, Modelling, and Physical Considerations

Nargis JamalDepartment of Mathematics, College of Science, Jazan University, Kingdom of Saudi ArabiaNashwa FekryDepartment of Business Administration, Applied College, Jazan University, P. O. Box 2470, Jazan, 4155, Kingdom of Saudi Arabia

Vol 10 No 5 (2026): Volume 10, Issue 5, May 2026 | Pages: 134-139

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 09-05-2026

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Abstract

Specific capacitance is a critical measure for assessing the electrochemical characteristics of electrode materials used in energy storage systems, especially supercapacitors. This article offers a thorough yet succinct mathematical analysis of capacitance, highlighting its physical implications and practical relevance. The correlation between charge, voltages, and mass is methodically examined to formulate the theoretical foundation of capacitance in electrochemical phenomena. Multiple assessment techniques, such as the galvanostatic charge-discharge (GCD) analysis and cyclic voltammetry (CV) techniques, are examined mathematically to elucidate their functions in ascertaining capacitance values. The relationship between specific capacitance and critical performance parameters, such as energy density, is examined to enhance understanding of material efficiency. This review attempts to connect theoretical models with experimental findings, providing comprehensive knowledge to inform the logical design of improved electrode materials for high efficiency uses for energy storage.

Keywords

Specific Capacitance; Mathematical Modelling; Charge Storing; Energy Density and Electrochemical Testing


Citation of this Article

Nargis Jamal, & Nashwa Fekry. (2026). Mathematical Analysis of Specific Capacitance for Energy Storage Devices: Theories, Modelling, and Physical Considerations. International Research Journal of Innovations in Engineering and Technology - IRJIET, 10(5), 134-139. Article DOI https://doi.org/10.47001/IRJIET/2026.105018

Licence Copyright (c) 2026 International Research Journal of Innovations in Engineering and Technology creative common licence This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
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