Circuit analysis using the node-impedance method

Circuit analysis is essential for studying other more specialized areas of electrical engineering. Traditional tools of analysis include the mesh current method and the node voltage method; however, neither approach is universally applicable to all circuit configurations. In this work, we introduce the node-impedance method as a comprehensive framework for electric circuit analysis. This method serves as an effective alternative to classical techniques and, in many practical situations, offers a more straightforward implementation. The node-impedance method is applicable to all types of circuits without additional steps. By knowing in advance the transfer gain between nodes, the method facilitates the systematic construction of the signal-flow graph. The proposed method can be used to solve simple and complex circuits, calculate transfer functions, and solve feedback circuits containing one or more loops. From a pedagogical perspective, the node-impedance method is particularly valuable, as it provides insight into the circuit topology uncovers non-obvious interconnections between nodes, and reveals hidden feedback loops.