Electric Circuit Theory
Course Objectives:
To continue work in Basic Electrical Engineering including the use of the Laplace Transform to determine the time and frequency domain responses of electric circuits.
 Network Analysis of AC circuit & Dependent Sources(8 hours)
 Mesh Analysis
 Nodal Analysis
 Series & parallel resonance in RLC circuits
 Impedance and phase angle of series Resonant Circuit
 Voltage and current in series resonant circuit
 Band width of the RLC circuit.
 HighQ and LowQ circuits
 Initial Conditions(2 hours)
 Characteristics of various network elements
 Initial value of Derivatives
 Procedure for evaluating initial conditions
 Initial condition in the case of RLC network
 Transient analysis in RLC circuit by direct solution(10 hours)
 Introduction
 First order Differential equation
 Higher order homogeneous and nonhomogeneous differential equations
 Particular integral by method of undetermined coefficients
 Response of RL circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of RC circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of series RLC circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of parallel RLC circuit with DC excitation
 Transient analysis in RLC circuit by Laplace Transform(8 hours)
 Introduction
 The Laplace Transformation
 Important properties of Laplace transformation
 Use of Partial Fraction expansion in analysis using Laplace Transformations
 Heaviside's partial fraction expansion theorem
 Response RL circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of RC circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of series RLC circuit with
 DC excitation
 Exponential excitation
 Sinusoidal excitation
 Response of parallel RLC circuit with exponential excitation
 Transfer functions Poles and Zeros of Networks
 Frequency Response of Network(6 hours)
 Introduction
 Magnitude and Phase response
 Bode Diagrams
 Bandwidth of Series & parallel Resonance circuits
 Basic concept of filters, high pass, low pass, band pass and band stop filters
 Fourier Series and transform(5 hours)
 Basic concept of Fourier series and analysis
 Evaluation of Fourier coefficients for periodic nonsinusoidal waveforms in electric networks
 Introduction of Fourier transforms
 Twoport Parameter of Networks(6 hours)
 Definition of twoport networks
 Short Circuit admittance parameters
 Open Circuits impedance parameters
 Transmission Short Circuit admittance parameters
 Hybrid Parameters
 Relationship and Transformations between sets of parameters
 Application to Filters
 Applications to Transmission Lines
 Interconnection of twoport network(Cascade, series, parallel)
Practical:
 Resonance in RLC series circuit: measurement of resonant frequency
 Transient Response in first Order System passive circuits:
i) measure step and impulse response of RL and RC circuit using oscilloscope ii) relate time response to analytical transfer functions calculations
 Transient Response in Second Order System passive circuits:
i) measure step and impulse response of RLC series and parallel circuits using oscilloscope ii)relate time response to transfer functions and polezero configuration
 Frequency Response of first order passive circuits:
i) measure amplitude and phase response and plot bode diagrams for RL, RC and RLC circuits ii) relate Bode diagrams to transfer functions and pole zero configuration circuit
 Frequency Response of second order passive circuits:
i) measure amplitude and phase response and plot bode diagrams for RL, RC and RLC circuits ii) relate Bode diagrams to transfer functions and pole zero configuration circuit
References:
 M. E. Van Valkenburg, "Network Analysis", third edition Prentice Hall, 2010.
 William H. Hyat. Jr. & Jack E. Kemmerly, "Engineering Circuits Analysis", Fourth edition, McGraw Hill International Editions, Electrical Engineering Series, 1987.
 Michel D. Cilletti, "Introduction to Circuit Analysis and Design", Holt, Hot Rinehart and Winston International Edition, New York, 1988.
Evaluation Scheme:
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapters 
Hours 
Marks Distribution* 
1 
8 
12 
2 
2 
6 
3 
10 
16 
4 
8 
12 
5 
6 
12 
6 
5 
10 
7 
6 
12 
Total 
45 
80 
*Note: There could be a minor deviation in the marks distribution.
