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.

1. Network Analysis of AC circuit & Dependent Sources(8 hours)
1. Mesh Analysis
2. Nodal Analysis
3. Series & parallel resonance in RLC circuits
1. Impedance and phase angle of series Resonant Circuit
2. Voltage and current in series resonant circuit
3. Band width of the RLC circuit.
4. High-Q and Low-Q circuits


2. Initial Conditions(2 hours)
1. Characteristics of various network elements
2. Initial value of Derivatives
3. Procedure for evaluating initial conditions
4. Initial condition in the case of RLC network


3. Transient analysis in RLC circuit by direct solution(10 hours)
1. Introduction
2. First order Differential equation
3. Higher order homogeneous and non-homogeneous differential equations
4. Particular integral by method of undetermined coefficients
5.  Response of R-L circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
6. Response of R-C circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
7. Response of series RLC circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
8. Response of parallel RLC circuit with DC excitation


4. Transient analysis in RLC circuit by Laplace Transform(8 hours)
1. Introduction
2. The Laplace Transformation
3. Important properties of Laplace transformation
4. Use of Partial Fraction expansion in analysis using Laplace Transformations
5. Heaviside's partial fraction expansion theorem
6. Response RL circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
7. Response of RC circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
8. Response of series RLC circuit with
1. DC excitation
2. Exponential excitation
3. Sinusoidal excitation
9. Response of parallel RLC circuit with exponential excitation
10. Transfer functions Poles and Zeros of Networks


5. Frequency Response of Network(6 hours)
1. Introduction
2. Magnitude and Phase response
3. Bode Diagrams
4. Bandwidth of Series & parallel Resonance circuits
5. Basic concept of filters, high pass, low pass, band pass and band stop filters


6. Fourier Series and transform(5 hours)
1. Basic concept of Fourier series and analysis
2. Evaluation of Fourier coefficients for periodic non-sinusoidal waveforms in electric networks
3. Introduction of Fourier transforms


7. Two-port Parameter of Networks(6 hours)
1. Definition of two-port networks
2. Short Circuit admittance parameters
3. Open Circuits impedance parameters
4. Transmission Short Circuit admittance parameters
5. Hybrid Parameters
6. Relationship and Transformations between sets of parameters
7. Application to Filters
8. Applications to Transmission Lines
9. Interconnection of two-port network(Cascade, series, parallel)

Practical:

1. Resonance in RLC series circuit: measurement of resonant frequency
2. 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
3. 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 pole-zero configuration
4. 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
5. 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:

1. M. E. Van Valkenburg, "Network Analysis", third edition Prentice Hall, 2010.
2. William H. Hyat. Jr. & Jack E. Kemmerly, "Engineering Circuits Analysis", Fourth edition, McGraw Hill International Editions, Electrical Engineering Series, 1987.
3. 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.