GTU BE/B.Tech 2019 Winter Question Papers || Gujarat Technological University
Subject Name: Network Theory
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Envlmnt No.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- III (New) EXAMINATION — WINTER 2019
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Subject Code: 3131103 Date: 3/12/2019Subject Name: Network Theory
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| Marks | |
| Q.1 (a) Draw Ideal and Practical Current and Voltage source characteristics. In what respect practical current and voltage sources are different from ideal current and voltage sources. | 03 |
| (b) Derive current, voltage, power and energy equations of two terminal elements Resistor, Inductor and Capacitor. | 04 |
| (c) Determine the current in 4O resistor using mesh analysis for the network shown in figure 1. | 07 |
| Q.2 (a) Derive the condition of maximum power transfer for the variable resistance as a load circuit. | 03 |
| (b) What is equivalent circuit of the charged and uncharged inductor and capacitor at t=0+ and t=8. | 04 |
| (c) Determine the value of I using superposition theorem for the circuit shown in figure 2. | 07 |
| OR | |
| (c) Find the current in 4O resistor for the circuit shown in figure 3 using Thevenin’s theorem and also find maximum power dissipation by the 4O. | 07 |
| Q.3 (a) Define the time-constant of RL and RC networks and explain the significance of the time-constant. | 03 |
| (b) In the network shown in figure 4, the switch k is moved from position 1 to 2 at t=0, steady state having previously been attained. Determine the current i(t) for t>0. | 04 |
| (c) In the network shown in figure 5, the switch k is changed from position 1 to 2 at t=0. Find values of i, di/dt and d²i/dt² at t=0+ if R=1000O, L=1H, C=0.1µF and V=100V. | 07 |
| OR | |
| Q.3 (a) In the network shown in figure 6, the switch k is closed at t=0, a steady state having previously been attained. Find i(t) for t > 0. | 03 |
| (b) An exponential voltage v(t)=4e-t is applied at time t=0 to a series R-L circuit consisting of a resistor R=0.5O and inductor L=0.25H as shown in figure 7 Obtain the expression of current i(t) for t>0. Assume zero current through the inductor before switching. | 04 |
| (c) Obtain z-parameters for the network shown in figure 8. | 07 |
| Q.4 (a) Write the procedure to obtain Thevenin’s equivalent voltage and resistance for the different types of network. | 03 |
| (b) In the network shown in figure 9 the switch k is moved from position a to b at t=0, a steady state existing in the circuit at t=0. Solve for the current i(t) using the Laplace transform technique. | 04 |
| (c) Find the Norton’s equivalent circuit for the network shown in figure 10 and obtain current in 10O (load resistor). | 07 |
| OR | |
| Q.4 (a) Find the Laplace transform of the signal f(t)=e-atsin(?t). | 03 |
| (b) Obtain the voltage across the capacitor in the LC circuit shown in figure 11 using Laplace transformation technique, if initial voltage across capacitor is 2V. | 04 |
| (c) Using nodal analysis determine the current I in the circuit shown in figure 12. | 07 |
| Q.5 (a) Define (1) Oriented Graph (2) Tree and (3) Incidence matrix. | 03 |
| (b) Define symmetry and reciprocity conditions for two port network also derive conditions of symmetry and reciprocity of the two port network in terms of Z parameters. | 04 |
| (c) For the circuit shown in figure 13 draw the oriented graph and obtain the (1) Incidence matrix (2) f-cutset matrix and (3) tieset matrix. | 07 |
| OR | |
| Q.5 (a) List out the necessary and sufficient conditions for positive real function. | 03 |
| (b) Determine the inductance between the terminals for three coil shown in figure 14. | 04 |
| (c) For the circuit shown in figure 15 draw the oriented graph and obtain the (1) Incidence matrix (2) f-cutset matrix and (3) tieset matrix. | 07 |
Figure 2
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Figure 3 Figure 4
Figure 6
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Figure 8
Figure 10
Figure 11
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Figure 12
Figure 13
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Figure 14
Figure 15
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