IOE Syllabus of Electric Circuit Theory (ECT)

Electric Circuit Theory ECT is introduced for Bachelor’s Degree in Engineering 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.  The course (code:EE 501) is included on second year – first part of  Computer, Electronics & Communication and other faculties of engineering by IOE. Following is the syllabus of ECT with marking scheme and credit hours for each chapter.

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
   1. Characteristics of various network elements
   2. Initial value of derivatives
   3. Procedure for evaluating initial conditions
   4. Initial condition in the case of R‐L‐C 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 Response of series R‐L‐C circuit with
   7. DC excitation
   8. Exponential excitation
   9. Sinusoidal excitation
4. Response of parallel R‐L‐C circuit with DC excitation (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 of R‐L circuit with
      1. DC excitation
      2. Exponential excitation
      3. Sinusoidal excitation
   7. Response of R‐C circuit with
      1. Exponential excitation
      2. Sinusoidal excitation
   8. Response of parallel R‐L‐C circuit with exponential excitation
   9. 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. Band width of Series & parallelResonance 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)

Practicals

1. Resonance in RLC series circuit measurement of  resonant frequency
2. Transient Response in first Order System passive circuits-measure  step  and  impulse  response  of  RL  and  RC  circuit  using oscilloscope relate time response to analytical transfer functions calculations
3. Transient Response in Second Order System passive circuits measure    step  and  impulse  response  of  RLC  series  and  parallel circuits using oscilloscope relate  time    response  to  transfer  functions  and  pole‐zero configuration
4. Frequency Response of first  order passive circuits measure  amplitude  and  phase  response  and  plot  bode  diagrams for RL, RC and RLC circuits relate  Bode  diagrams  to  transfer  functions  and  pole  zero configuration circuit
5. Frequency Response of second order passive circuits measure  amplitude  and  phase  response  and  plot  bode  diagrams for RL, RC and RLC circuits 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

* There could be a minor deviation in the marks distribution