👉 Wire math, or electrical network analysis using discrete components like resistors, capacitors, and inductors, involves applying principles from graph theory and linear algebra to model and solve complex electrical circuits. Each component is represented by a node (or vertex) in a graph, with edges connecting nodes representing the connections between components. The behavior of the circuit is then analyzed by formulating a system of linear equations based on Kirchhoff's laws, which describe the conservation of current and voltage at each node. These equations are solved using matrix techniques, such as Gaussian elimination or matrix inversion, to determine the circuit's voltage and current at various points. This approach allows for efficient computation of circuit behavior, making it a powerful tool in electrical engineering for designing and troubleshooting circuits.
