**CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY BHILAI (C.G.)**

**Semester : B.E. III Sem. Branch: Information Technology**

**Subject: Network Analysis & Synthesis**

Unit – I

Laplace Transformation & its Application in Circuit Analysis: Introduction, Laplace Transformation, Laplace Transform of

a Derivative df(t) /dt, Laplace Transform of an Integral, Laplace Transform of Common Forcing Function, Initial And Final

Value Theorem, Convolution, Application of Laplace Transformation technique in Electric Circuit Analysis, Partial

Fraction Expansion Method, Step Response of RL, RC Circuits, Impulse Response of Series RC, RL Network, Response of

RL Circuit with Pulse Input, Pulse Response of Series RC Circuit, Step Response of RLC Series Circuit.

Unit – II

Two Port Network Analysis: Introduction, z parameters, y- parameters, hybrid parameter, ABCD parameters, condition of

reciprocity and symmetry in two port parameter presentation. Interrelationship between parameters of two port networks.

Expression of input and output impedance in terms of two port parameter, ladder network, equivalent T and

p

section

representation in parametric form.

Unit – III

Properties of Network function: Introduction, Driving Point Impedance and Admittance Transfer function, Voltage And

Current Transfer Ratio. Thevenin’s and Norton Theorem, Milliman Theorem, Reciprocity Theorem, Maximum Power

Transfer Theorem, Supeposition Theorem, Substitution Theorem.

Unit – IV

Network Graph Theory: Introduction, Concept of Network Graph, Terminology Used in Network Graph, Properties of Tree

in a Graph, Formation of Incidence Matrix, Properties of Incidence Matrix, Number of Tree in a Graph, Cut Set Matrix,

Tieset Matrix, Fundamental Tieset Matrix, Fundamental Cutset Matrix.

Unit –V

Synthesis of Passive Networks: Concept of Stability of a System from Pole Zero Concept, Necessary condition of Stability

of a Network Function, Hurwitz Polynomial, Properties of Hurwitz Polynomials, Positive Real Function, Concept of

Network Synthesis, Reactive Network, Driving Point Immitance of LC Network, LC Network Synthesis, Foster and Caurr

form, RC and RL Network Synthesis By Foster and Caurr form.

Name of Text Books:

1. Network Analysis by M.E. Van Valkenbarg, PHI

2. Circuit Theory Analysis & Synthesis by A Chakraborty (Dhanpat Rai & Co. Pvt. Ltd, New Delhi)

Name of Reference Books:

1. Network Theory: Analysis & Synthesis – Smarjit Ghosh, PHI

2. Network Synthesis – T. Lapatra, TMH.

3. Circuits and Networks: Analysis and Synthesis – A. Sudhakar & Shyam Mohan S. Palli, TMH