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 theorems, 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.
Theorem 3.1
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.
Theorem 3.2
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.
