Network Theory

Introduction to Electrical Network

Network Topology Graph of a network Concept of tree Incidence matrix Tie-set matrix Cut-set matrix Formulation and solution of network equilibrium equations on loop and node basis

Network Theorems Substitution theorem Reciprocity theorem Maximum power transfer theorem Tellegen s theorem Millman s theorem Compensation theorem

Coupled Circuits Coupled Circuits Dot Convention for representing coupled circuits Coefficient of coupling Band Width and Q-factor for series and parallel resonant circuits

Laplace Transform Introduction to Laplace Transform Laplace transform of some basic functions Laplace transform of periodic functions Inverse Laplace transform

Application of Laplace transform Circuit Analysis Steady State and Transient

Two Port Network Functions Responses z y ABCD and h-parameters Reciprocity and Symmetry Interrelation of two-port parameters

Two Port Network Functions Interconnection of two-port networks Network Functions Significance of Poles and Zeros Restriction on location of Poles and Zeros Time domain behaviour from Pole-Zero plots

Fourier Series Its Application Fourier series Fourier analysis and evaluation of coefficients Steady state response of network to periodic signals Fourier transform and convergence Fourier transform of some functions Brief idea about network filters Low pass High pass Band pass and Band elimination and their frequency response

Network Synthesis Hurwitz polynomial Properties of Hurwitz polynomial Positive real functions and their properties Concepts of network synthesis Realization of simple R-L R-C and L-C functions in Cauer-I Cauer-II Foster-I and Foster-II forms