Electric Circuit Theroy II / I

ELECTRIC CIRCUIT THEORY 
EE 501 
Lecture  :  3  
Tutorial  :  1  
Practical  :  1.5 
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.

1Network Analysis of AC circuit & dependent sources
(8 hours)
1.1 Mesh Analysis
1.2 Nodal Analysis
1.3 Series & parallel resonance in RLC circuits
1.3.1 Impedance and phase angle of series Resonant Circuit
1.3.2 Voltage and current in series resonant circuit
1.3.3 Band width of the RLC circuit.
1.3.4 High‐Q and Low‐Q circuits

2.
Initial Conditions:
2.1 Characteristics of various network elements
2.2 Initial value of derivatives
2.3 Procedure for evaluating initial conditions
2.4 Initial condition in the case of R‐L‐C network

3.
Transient analysis in RLC circuit by direct solution
(10 hours)
3.1  Introduction
3.2  First order differential equation
3.3  Higher  order  homogeneous  and  non‐homogeneous  differential
equations
3.4  Particular integral by method of undetermined coefficients
3.5  Response of R‐L circuit with
3.5.1  DC excitation
3.5.2 Exponential excitation
3.5.3 Sinusoidal excitation
3.6 Response of R‐C circuit with
3.6.1 DC excitation
3.6.2 Exponential excitation
3.6.3 Sinusoidal excitation
Response of series R‐L‐C circuit with
3.7.1 DC excitation
3.7.2 Exponential excitation
3.7.3 Sinusoidal excitation
Response of parallel R‐L‐C circuit with DC excitation
Transient analysis in RLC circuit by Laplace Transform
(8 hours)
4.1 Introduction
4.2 The Laplace Transformation
4.3 Important properties of Laplace transformation
4.4 Use  of  Partial  Fraction  expansion  in  analysis  using  Laplace
Transformations
4.5 Heaviside’s partial fraction expansion theorem
4.6 Response of R‐L circuit with
4.6.1 DC excitation
4.6.2 Exponential excitation
4.6.3 Sinusoidal excitation
4.7 Response of R‐C circuit with
4.7.1 DC excitation
4.7.2 Exponential excitation

4.7.3 Sinusoidal excitation
4.8 Response of series R‐L‐C circuit with
4.8.1 DC excitation
4.8.2 Exponential excitation
4.8.3 Sinusoidal excitation
4.9 Response of parallel R‐L‐C circuit with exponential excitation
4.10 Transfer functions Poles and Zeros of Networks

5.
Frequency Response of Network
(6 hours)
5.1 Introduction

5.2 Magnitude and phase response
5.3 Bode diagrams
5.4 Band width of Series & parallel Resonance circuits
5.5 Basic  concept  of  filters,  high  pass,  low  pass,  band  pass  and  band
stop filters

6. Fourier Series and transform
(5 hours)
6.1 Basic concept of Fourier series and analysis
6.2 Evaluation  of  Fourier  coefficients  for  periodic  non‐sinusoidal
waveforms in electric networks
6.3 Introduction of Fourier transforms

7.
Two‐port Parameter of Networks
(6 Hours)
7.1 Definition of two‐port networks
7.2 Short circuit admittance parameters
7.3 Open circuits impedance parameters
7.4 Transmission Short circuit admittance parameters
7.5 Hybrid parameters
7.6 Relationship and transformations between sets of parameters
7.7 Application to filters
7.8 Applications to transmission lines
7.9 Interconnection of two‐port network (Cascade, series, parallel)