NETWORK THEORY

Module I:
(8 Lectures)
Introduction to LTI elements. Impulse, Step, Ramp and Sinusoidal Inputs,
Behavior of R, L & at and , Concept of , Analysis of zero input response,
zero state response and complete response of transient behavior of and R-L-
C Circuits using integrodifferential equation and Laplace Transform.

Module II:
(5 Lectures) Resonance: Series resonance circuit, Effect of on bandwidth
and selectivity. Relation between bandwidth and , Resonance curve with the
variation of and , Parallel resonant circuit.
Mutual coupled circuits, Dot Convention in coupled circuits, Equivalent
inductance, Analysis of Mutual coupled circuits, Ideal Transformer.

Module III:
(5 Lectures) Graph Theory: Introduction to graph, sub-graph, degenerate
sub-graph, incidence matrix, reduced incidence matrix, Tie-set and cut set
matrix, Analysis of the circuit using fundamental tie set matrix and
fundamental cut set matrix.

Module IV:
(6 Lectures) Definition of Network Function, driving point impedance,
Driving point admittance, Transfer impedance and admittance, Voltage and
current transfer ratio, Concept of poles and zeros, OCNF and SCNF, To
obtain response from pole zero plot analytically and graphically. Response
of the circuit transfer function with impulse, step and sinusoidal inputs.
Module V:
(6 lectures) Two port network: Impedance parameters, admittance
parameters, transmission parameters and hybrid parameters,
interconnections of two port networks: Series, Parallel, Cascade, Series-
parallel, Parallel-series, Lattice network, Ladder network, Equivalent T and
network.
Module VI:
(6 Lectures)
Hurwitz polynomial, its properties and Test, Positive real functions, its
properties and test, Driving point immittances of L-C Network, Synthesis of
L-C Network using Foster-I and FosterII forms, Cáuer-I and Cauer-II forms,
Driving point impedance and admittance of and R-C Network, Synthesis
using Foster-I, Foster-II, Cauer-I & Cauer-II forms.

Module VII:
(6 Lectures)
Introduction and Classifications of filters and its uses, Design of prototype
Constant and derived low pass filter, high pass filter, band pass filter and
band stop filter.

Text Book:

[1] . Fundamentals of Electric Circuits - Alexander & Sadiku - Tata McGraw
Hil,5th Editionl.
[2]. Circuits & Networks: Analysis, Design and Synthesis- Sukhija &
Nagsarkar- Oxford

Reference Book(s):
[1] . Network Analysis - M E Van Valkenburg - Pearson Education, 3rd
Edition.
[2]. Network Analysis and Synthesis - Franklin F. Kuo - Wiley Student
Edition.
[3]. Linear Circuits Analysis and Synthesis - A Ramakalyan - Oxford
University Press.
[4]. Problems & Solutions in Electric Circuit Analysis - Sivananda & Deepa-
Jaico Book.
[5] . Theory and problem of electrical circuits, Schaum's Outline Series,
TMH - Joseph A. Edminister, MahmoodMaqvi.
[6].Electric Circuits - David A.Bell - Oxford, 7th Edition, 2015