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Subject Code: 3131707
Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- III EXAMINATION - SUMMER 2020
Subject Name: Network Analysis
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Time: 02:30 PM TO 05:00 PM
Date:04/11/2020
Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 | (a) Define following terms: (a) Linear and Nonlinear Networks (b) Unilateral and Bilateral Networks. | 03 |
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(b) Define following terms: (a) Time-Invariance and Time variance Networks. (b) Active and Passive Networks with example. | 04 | |
(c) Explain ideal, practical and dependent voltage and current sources with all necessary diagrams. | 07 | |
Q.2 | (a) Determine the inductance between the terminals for a three coil shown in fig1 | 03 |
(b) For the network shown in the fig 2, determine the numerical value of the branch current I1 using sources transformation theorem. | 04 | |
(c) Determine the node voltages V1, V2 and V3 in a network of fig 3, using nodal analysis. | 07 | |
OR | ||
(a) Find the current I1, I2, I3 and I4 for the network shown in fig 4, using mesh analysis | 07 | |
Q.3 | (a) State and explain Reciprocity theorem with example. | 03 |
(b) Determine current I in a circuit shown in fig 5, using Super position theorem. | 04 | |
(c) Find the Norton’s equivalent circuit across the terminal AB of the network shown in fig 6. | 07 | |
OR | ||
Q.3 | (a) State and explain maximum power transfer theorem. Derive the condition for maximum power transfer to Resistive load for DC circuit | 03 |
(b) State and explain‘Millman’s theorem with proof. | 04 | |
(c) Find the current in 6 ohm resistor in the network shown in fig 7, using Thevenin’s theorem | 07 | |
Q.4 | (a) Write the initial conditions in the inductor and capacitor at t = 0+ and t = 8. | 03 |
(b) Find out the values of V, dV/dT and d²V/dT² just after switching (at time t =0+) in the circuit shown in fig 8. | 04 | |
(c) For the circuit shown in the fig 9, the switch ‘S’ is at position ‘1’ and the steady state condition is reached. The switched is moved to position ‘2’ at t=0. Find the current i(t) in both the cases, i.e. switch at position 1 and switch is at position 2 | 07 | |
OR | ||
Q.4 | (a) Write equations of Short circuit Admittance and Open Circuit Impedance parameters of a two port network. | 03 |
(b) Derive the relationship between h-parameters and ABCD parameters | 04 | |
(c) Find Z parameters for the network of fig 10. | 07 | |
Q.5 | (a) State and Explain final value theorem. | 03 |
(b) Explain and derive the step response to R-L series circuit using Laplace Transformation method. (Fig 14.) | 04 | |
(c) In the network of fig 11, if the switch has remained in position A for a long time and then moves to position B at t = 0. Find vc(t) for t >= 0 for R = 405 ohm. (405O resistor is shown in fig.11) | 07 | |
OR | ||
Q.5 | (a) Define following terms: (a) Oriented graph (b) Co-tree. c) Cut-set | 03 |
(b) How many trees are possible for the graph of the network of fig 12. | 04 | |
(c) For the network shown in fig 13, draw the oriented graph and write 1) the Incidence matrix, 11) Tieset matrix, and 111) f-Cutset matrix. | 07 |
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