GTU BE/B.Tech 2019 Winter Question Papers || Gujarat Technological University
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GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER- III (New) EXAMINATION — WINTER 2019
Subject Code: 3132406 Date: 30/11/2019
Subject Name: Circuit Theory
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
| Marks | |
|---|---|
| Q.1 (a) Define: (i) electric current (ii) 1-volt (iii) electrical power. | 03 |
| (b) What are the network elements and how do they respond when electric energy is supplied to them? What are the relationship between voltage and current in a resistor, inductor and capacitor? | 04 |
| (c) Find the current and voltage drop through the 5 O resistor in the network of Fig. (1) using Node voltage analysis. | 07 |
| Q.2 (a) Define: (i) principle node (ii) branches (iii) graph. | 03 |
| (b) Using Mesh analysis, find the current flow through the 50V source in the network of Fig. (2). | 04 |
| (c) Explain maximum power transfer theorem with the help of a circuit network. Derive the equation of maximum power for AC circuits. Also give the condition for maximum power transfer. | 07 |
| OR | |
| (c) Explain Superposition theorem for AC Networks with the help of a circuit network. | 07 |
| Q.3 (a) Why study initial conditions? Enlist the advantages which result from this understanding of initial conditions. | 03 |
| (b) Find the Norton’s equivalent circuit for the network given in Fig. (3). Obtain current through the 5 O resistor. | 04 |
| (c) Find V0 by nodal analysis for the given network of Fig.(4). | 07 |
| OR | |
| Q.3 (a) Mention the initial and final conditions for R, L & C components in the different cases. | 03 |
| (b) Explain transmission parameters and hybrid parameters. | 04 |
| (c) Calculate the current passing through the 10 O resistor in the network shown in Fig. (5). Use Mesh current method. | 07 |
| Q.4 (a) Derive y- parameters in terms of z-parameters. | 03 |
| (b) Apply nodal analysis for the network shown in Fig. (6) and find the current across the 2 O resistor connected between two nodes. | 04 |
| (c) Find voltage Vx in the network as shown in Fig. (7) using Superposition Theorem. | 07 |
| OR | |
| Q.4 (a) Derive z- parameters in terms of y-parameters. | 03 |
| (b) Explain ‘poles’ & ‘zeros’ with respect to circuit theory. | 04 |
| (c) Obtain the solution to a given network in Fig. (8) when the switch moved from position “b” to “a” at t = 0. Find the expression for current. | 07 |
| Q.5 (a) Discuss the relationship of two port variables. | 03 |
| (b) Discuss frequency response for parallel resonance. | 04 |
| (c) A series RLC circuit having zero inductor current and zero capacitor voltage is excited by a 20 Volt dc source. Assume R =10 O, L = 2H and C = 10 uF and a switch “K” is connected in series with RLC. Find i(0+) and di / dt (0+). | 07 |
| OR | |
| Q.5 (a) Discuss interconnections of two port networks. | 03 |
| (b) Discuss frequency response for series resonance. | 04 |
| (c) In the network shown in Fig. (9), switch “K” is moved from position ‘a’ to ‘b’ at t =0, steady state having previously been attained. Determine current i(t). | 07 |
Q.1(c) Fig. (2) Q.2 (b)
Q.3 (b) Fig. (4) Q.3 (c) Fig. (6) Q.4 (b)
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Fig. (7) Q. 4 (c) Fig (8) OR Q. 4 (c) Fig (9) OR Q 5 (C)
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