# GTU Circuits and Networks Syllabus

GUJARAT TECHNOLOGICAL UNIVERSITY

B.E Semester: 3

Biomedical Engineering

Subject Code 130901

Subject Name Circuits and Networks

Sr.No Course Content

1 Circuit Variables and Circuit Elements:

Electromotive Force, Potential and Voltage – A Voltage Source with a

Resistance Connected at its Terminals – Two-terminal Capacitance – Twoterminal

Inductance- Ideal Independent Two-terminal Electrical Sources –

Power and Energy Relations for Two-terminal Elements – Classification of

Two-terminal Elements – Multi-terminal Circuit Elements, Dot Convention.

2 Nodal Analysis and Mesh Analysis of resistive Circuits:

Nodal Analysis of Circuits Containing Resistors and Independent Sources –

Nodal Analysis of Circuits Containing Dependent Voltage Sources – Source

Transformation Theorem for circuits with independent sources – Source

Transformation Theorem for circuits with Dependent sources -Nodal

Analysis of Circuits Containing Dependent Sources – Mesh Analysis of

Circuits with Resistors and Independent Voltage Sources- Mesh Analysis of

Circuits with Independent Sources – Mesh Analysis of Circuits Containing

Dependent Sources

3 Circuit Theorems:

Linearity of a Circuit and Superposition Theorem – Substitution Theorem –

Compensation Theorem – Thevenin’s Theorem and Norton’s Theorem –

Determination of Equivalents for Circuits with Dependent Sources –

Reciprocity Theorem – Maximum Power Transfer Theorem – Millman’s

Theorem

4 Time domain response of First order RL and RC circuits:

Mathematical preliminaries – Source free response –DC response of first

order circuits – Superposition and linearity – Response Classifications –

First order RC Op Amp Circuits

5 Time domain response of Second order linear circuits:

Discharging of a Capacitor through an inductor – Source free second order

linear networks – second order linear networks with constant inputs

6 Initial Conditions: Initial conditions in elements, procedure for evaluating

initial conditions, Solution of circuit equations by using Initial Conditions.

7 Laplace Transform Analysis: Circuit Applications:

Notions of Impedance and Admittance – Manipulation of Impedance and

Admittance- Notions of Transfer Function- Equivalent circuits for inductors

and capacitors – Nodal and Loop analysis in the s-domain – Switching in

RLC circuits- Switched capacitor circuits and conservation of charge

8 Laplace Transform Analysis : Transfer Function Applications:

Poles, Zeros and the s-plane- Classification of Responses – Computation of

sinusoidal steady state response for stable networks and systems

9 Two –Port Networks :

One port networks – Two port admittance Parameters – Admittance

parameters analysis of terminated two- Port networks – Two port impedance

Parameters –Impedance and Gain calculations of terminated two- Port

networks modeled by z-parameters – Hybrid parameters – Generalized

Two-port Parameters – Transmission parameters – reciprocity

10 Introduction to Network Topology:

Linear Oriented Graphs (Connected Graph, Subgraphs and Some Special

Subgraphs) – The Incidence Matrix of a Linear Oriented Graph -Kirchhoff’s

Laws in Incidence Matrix Formulation – Nodal Analysis of Networks – The

Circuit Matrix of a Linear Oriented Graph- Kirchhoff’s Laws in Fundamental

Circuit Matrix Formulation – Loop Analysis of Electrical Networks – ( Loop

Analysis of Networks Containing Ideal Dependent Sources- Planar Graphs

and Mesh Analysis –Duality)- The Cut-set Matrix of a Linear Oriented

Graph ( Cut-sets – The All cut-set matrix Qa- Orthogonality relation between

Cut-set matrix and Circuit matrix – The Fundamental Cut-set Matrix Qf –

Relation between Qf , A and Bf) – Kirchhoff’s Laws in Fundamental Cut-set

formulation

Reference Books:

1. Electric Circuits and Networks :- By K. S. Suresh Kumar – Pearson Education

2. Linear Circuits Analysis 2nd edition :-By DeCarlo/ Lin – Oxford University Press

(Indian edition)

3. Network Analysis :- By M.E Van Valkenburg PHI Publication

4. Engineering Circuit Analysis : – By W H Hayt, J E Kemmerly, S M Durbin 6th

Edition TMH Publication

5. Network Analysis & Synthesis By Franklin S. KUO, Wiley Publication