Download AKTU B-Tech 3rd Sem 2015-2016 EEC 304 Fundamentals Of Network Analysis And Synthesis Question Paper

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EEC-304

(Following Paper ID and Roll No. to be filled in your Answer Book)

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Paper ID: 131324 Roll No.

B. TECH. (SEM. III) THEORY EXAMINATION, 2015-16

FUNDAMENTALS OF NETWORK ANALYSIS AND SYNTHESIS

[Time:3 hours] [Total Marks:100]

Section-A

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1. Attempt all parts. All parts carry equal marks. Write answer of each part in short : (2x10=20)

   1. Define 'initial value' and 'final value' theorem.
   2. Define reciprocal network.
   3. List three properties of positive real function.
   4. Enlist the two important properties to recognize an R-C impedance in synthesis.

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   5. Explain an exponential function.
   6. Write the condition of symmetry in terms of Z, Y, h and T parameters.
   7. Differentiate between active and passive filters.
   8. Show that the described by the transfer function H(S) = 1 / ((s² +0.76536s+1)(s² +1.84776s+1)) is a Low Pass Filter.
   9. Determine the equivalent Norton Network at the terminals a and b of the circuit shown in figure-1.

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   10. Determine the range of constant 'K' for the polynomial to be Hurwitz P(s) = s³ + 3s² + 2s + K
   11. Write the properties of transfer functions.

Note: Attempt any five questions from this section : (10 x 5 = 50)

2. Explain the concept of reciprocity and symmetry. Derive the above conditions for h and ABCD parameters.

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3. The switch K shown in figure-2 is in the steady state in position a for -8<t<0. At t = 0, it is connected to position b. Find i (t), t = 0
4. Find
   1. The r.m.s. value of the square-wave shown in figure- 3.
   2. The average power for the circuit having Zin=1.05-0.67 jO when the driving-current is 40- 3jA.
5. Determine whether the function F(S) = (s³ +2s²+3s+1) / (s³+s²+2s+1) is positive real or not.

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6. Synthesize a ladder network whose driving point impedance function is given by Z(S) = (2s5 +12s³ +16s) / (s4+4s² +3)
7. Synthesize an LC network terminated in 1O given that V2(S) / V1(S) = 8s² / (12s²+12s+1) FirstRanker.com
8. Show that the voltage ratio transfer function of the ladder network shown in figure-4 is given by Z21(S)= FirstRanker.com

Section-C

Note: Attempt any two questions from this section. (15x2=30)

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10. Express the impedance Z(s) for the network shown in figure-5 in the form:

    Z(s) = K N(s) / D(s)

    Plot its poles and zeros. From the pole-zero plot, what can you infer about the stability of the system?

11. Consider the system function Z(s) = 2(s+1)(s+3) / (s+2)(s+6)

    Synthesize:

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    1. An R-L network
    2. An R-C network
12. Find the poles of system functions for low pass filter with n=3 and n=4 Butterworth characteristics. (Do not use the tables)

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