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Roll No.
B. Tech. (SEM. III) THEORY EXAMINATION 2017-18
NETWORK ANALYSIS AND SYNTHESIS
Time: 3 Hours
Total Marks: 70
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Note: 1. Attempt all Sections. Assume missing data if any.
SECTION A
1. Attempt all questions in brief. 2 x7 = 14
- Write two properties of Complete Incidence matrix.
- Write Hybrid parameters in terms of Z parameters.
- State two properties of the R-L driving point Impedance function.
- Describe the following: Tree, Co-Tree, Twig, Link, Cut-set and Tie set.
- State and describe the properties of RL and RC DPI Network.
- State and describe thevenin theorem with suitable example.
- Describe complex frequency in brief.
- Write the Z parameters for the given network.
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[Diagram description: A circuit with impedances ZB and ZC, voltage source V, and current Wip.]
SECTION B
Attempt any three of the following: 7 x 3 = 21
- For the given reduced incidence matrix. Draw the graph and hence obtain the f-cutset matrix.
[Matrix: 0 0 1 1 1 0 -1, 0 1 0 0 -1 1 1, -1 0 1 0 0 -1 0]
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- For the network shown in Fig below draw the directed graph. And also find number possible tree.
- Find current through 5O resistor using Thevenin's theorem.
[Diagram description: A circuit with 10O resistor, 50V voltage source, 2O resistor, 100V voltage source, 5O resistor, 2O resistor, and 3O resistor.]
- Test whether the polynomial P(s) is Hurwitz or not.
- s5 + 3s2 + 2s
- s4 + 5s3 + 5s2 + 4s + 10.
- Find Y and Z parameters of the network.
[Diagram description: A circuit with 1 kO resistor, 1O resistor, and 2V voltage source.]
[Diagram description: A circuit with components C1, R1, R3, C2 and voltage source W]
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www.FirstRanker.comSECTION C
Attempt any one part of the following: 7x1=7
- (a) State the properties of RL driving point impedance function. Also realize the given network impedance function using Foster form I
Z(s)= (s+1)(s+3) / (s+2)(s+4)
- (b) Explain the advantage of active filter in comparison to passive filter in detail.
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Attempt any one part of the following: 7x1=7
- (a) For the given network function, draw the pole zero diagram and hence obtain the time response I(t)
I(s) = 5s / (s+1)(s2+4s+8)
- (b) Design constant K low pass T and p section filters to be terminated in 600 O having cut-off frequency 3 kHz.
Attempt any one part of the following: 7x1=7
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- (a) Determine the currents in all the branches of the network shown in fig. using node analysis method of the graph theory.
[Diagram description: A circuit with resistors 1O, 2O, 2O, 1O, 2O.]
Firstranker's Espain following tework topol
- Tree
- Co-tree
- Incidence matrix
- Oriented graph
- Twig and link
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Attempt any one part of the following: 7x1=7
- (a) Sketch the following signals:-
- t2[U(t-1)-U(t-3)]
- (t-4)[U(t-1)-U(t-4)]
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- (b) In the circuit shown v(t) =2u(t) and iL(0-) = 2 amps. Find and sketch i2(t).
[Diagram description: A circuit with v(t), 1O resistor, inductor 5h, 1O resistor, i2(t)]
Attempt any one part of the following: 7x1=7
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- (a) State and prove the maximum power transfer theorem applied to the AC circuits.
- (b) Determine the current in capacitor C by the principle of superposition of the network shown below.
[Diagram description: A circuit with +4V voltage source, 1O resistor, 3O resistor, -j4 O, 3O resistor, and j2A current source.]
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