👉 Battery mathematics involves understanding the fundamental principles of energy storage and conversion, primarily through electrochemistry. A battery consists of two electrodes (anode and cathode) immersed in an electrolyte, which facilitates the flow of ions between them. The voltage of a battery is determined by the difference in electrochemical potential between the anode and cathode, known as the cell potential. This potential is influenced by the concentrations of the ions in the electrolyte and the materials used in the electrodes, as described by the Nernst equation. The capacity of a battery, or its energy density, is calculated based on the amount of charge it can store, which depends on the materials and design. The discharge process involves the oxidation of the anode and reduction of the cathode, releasing electrons that flow through an external circuit, generating electrical power. Understanding these mathematical relationships is crucial for optimizing battery performance, predicting lifespan, and designing efficient energy storage systems.