TABLE OF CONTENTS This chapter begins with nodal, loop and mesh equations and how they are applied to the solution of circuits containing two or more node-pairs and two or more loops or meshes. Other topics included in this chapter are the voltage-to-current source transformations and vice versa, Thevenin's and Norton's heorems, the maximum power transfer theorem, linearity, superposition, efficiency, and regulation.
Network Topology is a branch of network theory concerned with the equations required to completely describe an electric circuit. In this text, we will only be concerned with the following two theorems.
Let N = number of nodes in a circuit; then N ? 1 independent nodal equations are required to completely describe that circuit. These equations are obtained by setting the algebraic sum of the currents leaving each of the N ? 1 nodes equal to zero.
Let L = M = number of loops or meshes, B = number of branches, N = number of nodes in a circuit; then L = M = B ? N + 1 independent loop or mesh equations are required to completely describe that circuit. These equations are obtained by setting the algebraic sum of the voltage drops around each of the L = M = B ? N + 1 loops or meshes equal to zero.
