AE08 CIRCUIT THEORY AND DESIGN

 

1.         Network Elements and their Characterization                                                                                  3 hours                                                              

 

1.1    Resistance, capacitance and inductance parameters and their terminal properties.

1.2    Voltage and current sources – dependent and independent.

1.3    Coupled coils.

 

I [1, 2]; II [5]

 

2.         Foundations of Network Analysis                                                                                                      6 hours                                                                

 

2.1   Topological descriptions of networks.

2.2   KCL, KVL.

2.3   Number of network equations.

2.4   Source transformations.

2.5   Examples of formulation of network equations.

2.6   Loop and node variable analysis and their solutions.

2.7   Duality.

 

I [2, 3]

 

3.         Transient Response                                                                                                                           6 hours

 

3.1  RL and RC networks – free and forced responses , initial conditions.

3.2  RLC networks – free and forced responses, initial conditions.

3.3  Transient response and s-plane roots.

3.4  Continuity of current in coupled coils on switching.

 

I [4, 5], II [5]

 

4.         Transform Methods, Network Functions, Network Theorems                                                        6 Hours                                    

 

4.1 Concept of complex frequency.

4.2 Transform impedance and transformed circuits.

4.3 Superposition and reciprocity.

4.4 Thevenin’s and Norton’s theorems.

4.5 Network functions for one and two-ports.

4.6 Calculation of network functions.

4.7 Poles and zeros.

4.8 Time domain behaviour from pole zero plots.

 

I [9, 10]; II [7]

 

 

 

5.         Sinusoidal Steady State Analysis                                                                                                        3 hours                                               

 

5.1   Meaning of the term.

5.2   Sinusoidal analysis using exp(jwt) excitation.

5.3   Phasors and phasor diagrams.

I [12]

 

6.         Energy and Power                                                                                                                              3 hours

 

6.1   Energy and power in L, C and R elements.

6.2   Effective and RMS values.

6.3   Average and complex power.

6.4   Maximum power transfer theorem and its applications.

6.5   Tellegen’s theorem.

 

I [14]

 

7.                  Resonance                                                                                                                                          6 hours

 

7.1   Amplitude and phase response, minimum phase functions.

7.2   Single tuned circuits.

7.3   Double tuned circuits.

7.4   Poles, zeros and time delay.

 

II [8]

 

8.         Two-port Networks                                                                                                                            9 hours

 

8.1   Two-port parameters (z, y, h, ABCD) and their interrelationships.

8.2   Transfer functions using two-port parameters.

8.3   Interconnection of two-ports.

8.4   Analysis of ladder networks.

 

II [9]

 

9.         Elements of Realizability Theory                                                                                                      3 hours

 

9.1   Causality and stability.

9.2   Hurwitz polynomials.

9.3   Positive real functions.

9.4   Elementary synthesis procedures.

 

II [10]

 

 

 

 

10.      Synthesis of Two Element Kind One ports                                                                           6 hours

 

10.1   Properties of LC immittance functions.

10.2      Synthesis of LC Driving Point Immittances (DPI).

10.3      Properties of RC DPI’s .

10.4      Synthesis of RC DPI’s.

10.5      Properties and synthesis of RL DPI’s.

10.6      Synthesis of certain RLC DPI’s.

 

II [11]

 

11.       Elements of Transfer Function Synthesis                                                                              6 hours

 

11.1      Properties of transfer functions.

11.2      Zeros of transmission.

11.3      Synthesis of transfer immittances with resistive termination.

11.4      Constant resistance networks.

 

II[12]

 

12.       Approximation Theory                                                                                                           3 hours

 

12.1        Maximally flat low pass filter approximation.

12.2        Chebyshev approximation.

12.3        Synthesis of low-pass filters.

12.4        Magnitude and frequency scaling.

12.5        Frequency transformations (13.10).

 

II [13]

 

 

 

Text Books

 

I.          M E Van Valkenburg, “Network Analysis”, Prentice Hall of India, 1997.

 

II.        F F Kuo, “Network Analysis and Synthesis”, Wiley, 1990.