ABSTRACT
Given a resistive circuit having a number of independent and dependent sources in its branches, the behavior of the circuit is completely governed by Kirchhoff's current law (KCL), Kirchhoff's voltage law (KVL), and the voltage-current relations of the branches. The two basic systematic methods are those of node-voltage analysis and mesh-current analysis. Another basic method of analysis is based on superposition. Superposition is fundamentally a defining property of linear, time-invariant (LTI) systems and involves applying independent sources one at a time and then obtaining the desired response as the algebraic sum of the responses to each source acting alone. In both node-voltage and mesh-current analyses, nontransformable sources are dealt with by assigning them an unknown circuit variable, which is then eliminated by adding the equations for the two nodes, or meshes, adjacent to the nontransformable source.
