Assignment Questions (Subject:- Network Analysis)

Network Analysis

Assignment Questions

Instructions:

• Solve any 8 questions in each section.

• Make appropriate assumptions wherever necessary.

Unit 1

1. Find the value of Va for the following circuit using K.V.L.

2. Explain Ohm’s law with the help of examples.

3. Define the following terms
(i) Branch (ii) Sub graph (iii) Node (iii) Tree
(b) For the graph shown below find incidence and cut set matrices.

 4. Determine the current in the 5 (Ω) ohm resistor by any one method.

5. Explain Kirchhoff's Current Law and Voltage Law with the help of examples.

6. State and explain Kirchhoff’s laws.

7. State Kirchhoff’s voltage law.

8. Define and state the properties of incidence matrix.
9. For the network shown below draw the graph and find incidence and tie–set matrices.

10. Find branch currents for the following circuit.

 11. Using nodal analysis find all branch currents for the following circuit.

 Unit 2

1. Determine the current flowing through 5 ohms resistance in the network shown below (fig-1) using Thevenin’s theorem.

2. Explain the Maximum Power Transfer Theorem related to AC Circuits.

3. Find the maximum power delivered to the load by using the maximum power transfer theorem for the following circuit.

4. Explain Norton's theorem related to DC circuits.

5. What is the condition for maximum power transfer to the load?
6. Find Thevenin’s equivalent for the following circuit.

7. State and explain Superposition theorem?
8. Verify the superposition theorem for the 4Ω resistor for the following circuit. 

9. State and explain milliman’s theorem.
10. Find Norton’s equivalent for the following circuit.

11. State and explain Norton’s theorem?
12. Verify the reciprocity theorem for the network shown in fig .

Unit 3

1. Find the initial values of the functions:

 2. Find the final value of the functions:

3. In the circuit, find the initial and final values of currents i1 and i2 when the switch is closed at t = 0. Use initial-value and final-value theorems.

4. Discuss the advantages of the Laplace transform method over the conventional classical methods of solving the linear differential equations with constant coefficients.

5. Define ROC of Laplace transform and mention its properties.

6. Explain the application of Laplace transform in solving integro-differential equations. Illustrate with an example involving a first-order electrical circuit.

7. Derive the Laplace transform of a waveform synthesized using step and ramp functions. How does this help in analyzing transient behavior in circuits?

8. Discuss the significance of sinusoidal functions in frequency domain analysis. How can ICT-based tools and green board teaching methods be used to visualize their transformation?

9. State and prove the Initial Value Theorem and Final Value Theorem in the context of Laplace transforms. Provide examples to demonstrate their practical utility in system analysis.

10. Explain how Laplace transform simplifies the analysis of linear time-invariant (LTI) systems. Compare time-domain and frequency-domain approaches for solving circuit equations.

11. Describe the role of Laplace transform in analyzing RLC circuits. How does it help in determining the system response to various input signals?

12. Discuss the application of network theorems (e.g., Thevenin’s, Norton’s, Superposition) in the transform domain. How do these theorems aid in simplifying complex circuit analysis?

13. Explain the process of transforming a time-domain sinusoidal signal into its Laplace domain representation. What insights does this provide about system behavior and stability?

14. Evaluate the effectiveness of ICT-based teaching methods (e.g., simulations, video lectures) in explaining Laplace transform concepts. How do they complement traditional green board instruction?

15. Analyze the importance of frequency domain techniques in modern electrical engineering. How do they support design, analysis, and troubleshooting of analog and digital systems? 

Unit 4

1. Determine the Fourier series for the square waveform shown below and plot the magni-tude and the phase spectra.

2. Find the Fourier series of the function whose periodic waveform is shown in Fig. and plot its frequency spectra.

3. Find the trigonometric Fourier series for the waveform shown in Fig. and sketch the spectra. 

4. Explain the concept of signal spectra. How does the frequency domain representation of signals help in analyzing periodic and non-periodic waveforms?

5. Derive the Fourier series coefficients for a general periodic waveform. Discuss the significance of each coefficient in reconstructing the original signal.

6. Discuss the role of symmetry (even, odd, half-wave, and quarter-wave) in simplifying the computation of Fourier series coefficients. Provide examples to illustrate each type.

7. Compare the trigonometric and exponential forms of the Fourier series. How are they mathematically related, and in what scenarios is each form preferred?

8. Explain the physical interpretation of Fourier series in terms of signal decomposition. How does this aid in understanding complex waveforms in communication systems?

9. Demonstrate the step-by-step process of computing Fourier coefficients for a square wave using both trigonometric and exponential forms.

10. Discuss the importance of ICT-based teaching tools (e.g., PPTs, video lectures) in explaining Fourier series concepts. How do these tools enhance student understanding compared to traditional methods?

11. Explain how green board-based classroom teaching can be effectively used to derive and visualize Fourier series expansions. What are the pedagogical advantages of this approach?

12. Analyze the convergence properties of Fourier series. Under what conditions does the Fourier series accurately represent a periodic signal, and what are the implications of Gibbs phenomenon?

13. Describe the application of Fourier series in electrical engineering and signal processing. How does it contribute to filter design, modulation, and spectral analysis?

Unit 5

1. Define two-port network?  

2. Define Z-parameters, Y-parameters and h-parameters? 

5. Define transmission or ABCD or chain or general parameters?  

6. Write the symmetry condition for Z, Y, h and ABCD parameters? 

7. Write the reciprocity condition for Z, Y, h and ABCD parameters? 

8. Draw the parallel connection of 2 two-port networks?

9. Find the Z-parameters for the following circuit. 

10. Express ABCD parameters in terms of h parameters. 

11. Find the Y-parameters for the following circuit.

12. Express h parameters in terms of ABCD parameters. 

13. Find the ABCD parameters for the following circuit.

14. Express Y parameters in terms of h parameters.
15. Find the h-parameters for the following circuit.

16. Find the relationship between Z and h parameters.
17. Find the Z and Y parameters for the following circuit.

18. Find the Y-parameters for the following circuit.

19. Express Z parameters in terms of ABCD parameters.

20. Find the ABCD and h-parameters for the following circuit.

21. Find the mutual impedance of the circuit shown below.

22. What are called transmission parameters? Why are they called so? 

23. Write the equations for Z parameters in terms of Y parameters. 

24. Write the equations for Z parameters in terms of h parameters. 

25. Write the equations for Z parameters in terms of ABCD parameters? 

26. Write the equations for Z parameters in terms of g parameters? 

27. Write the equations for Y parameters in terms of Z parameters? 

28. Write the equations for Y parameters in terms of h parameters? 

29. Write the equations for Y parameters in terms of ABCD parameters? 

30. Write the equations for ABCD parameters in terms of G parameters? 

31. Write the equations for ABCD parameters in terms of Z parameters? 

32. Write the equations for ABCD parameters in terms of Y parameters? 

33. Write the equations for ABCD parameters in terms of g parameters? 

34. Write the equations for ABCD parameters in terms of h parameters? 

35. Explain Z and Y parameters in two port network. by taking one example  

36. Find the h-parameters for the network shown in figure below.

37. Define and explain ABCD and h-parameters by taking one example. 

38. Derive the relation between transmission and impedance parameters. 

39. Express the Z parameters of a two port network in terms of Y parameters. 

40. Find the Y and Z parameters of the following two port resistive network. Verify the relation between them.

41. Derive the relation between impedance and admittance parameters. 

42. Derive the relation between hybrid and impedance parameters. 

43. Explain the Interconnection of Two port networks. 

44. Explain the driving point and transfer functions for one port and two port network? 

45. Explain the Poles & Zeros of network functions?

46. When 10 V is applied to a two port resistive network, on no load, the voltage at the open circuit end is 8 V. When 1 amp load is connected, the voltage at the load end is 6 V. Find the voltage at the load end for a load current of 2 amp. The supply voltage is same in all the cases. 

 

 

 

Book NT by Smarajit Ghosh