Course Objectives:
To learn about various techniques available to solve various types of circuits and networks
To gain the capability to synthesize a circuit for a particular purpose.

Expected outcome.
Ability to solve any DC and AC circuits
Ability to apply graph theory in solving networks
Ability to apply Laplace Transform to find transient response
Ability to synthesize networks

Module 1

Network theorems – Superposition theorem – Thevenin’s - theorem – Norton’s theorem – Reciprocity Theorem – Maximum power transfer theorem – dc and ac steady state analysis – dependent and independent sources

Module II

Network topology – graph, tree, incidence matrix – properties of incidence matrix – fundamental cut sets – cut set matrix – tie sets – fundamental tie sets – tie set matrix – relationships among incidence matrix, cut set matrix & tie set matrix – Kirchoff’s laws in terms of network topological matrices – formulation and solution of network equations using topological methods

Module III

Steady state and transient response – DC response & sinusoidal response of RL, RC and RLC series circuits

Module IV

Application of Laplace transform in transient analysis – RL, RC and RLC circuits (Series and Parallel circuits) – step and sinusoidal response
Transformed circuits – coupled circuits - dot convention - transform impedance/admittance of RLC circuits with mutual coupling – mesh analysis and node analysis of transformed circuits – solution of transformed circuits including mutually coupled circuits in s-domain

Module V

Two port networks – Z, Y , h, T parameters – relationship between parameter sets – condition for symmetry & reciprocity – interconnections of two port networks – driving point and transfer immittance – T-π transformation.

Module VI

Network functions–Network synthesis-positive real functions and Hurwitz polynomial-synthesis of one port network with two kinds of elements-Foster form I&II-Cauer form I&II.