NETWORK ANALYSIS & SYNTHESIS ,(NAS)

NETWORK ANALYSIS & SYNTHESIS
(NAS)
B.Tech Examination
SEM.III, 2012-13
UTTARAKHAND TECHNICAL UNIVERSITY(UTU)

Time: 3 Hours

Total Marks  :100

Section A

Attempt any four of the following:

1. List the essential properties o a linear network systems.
2. State and explain Thevenin's Theorem. Can a Thevenin theorem be applied to a linear load only? Give reasons in support of your answer.
3. Define node, cutset, and twig.
4. Define the properties of driving point impedance function.
5. List the properties of the Laplace transform and its inverse, explaining time scaling and frequency scaling.
6. Which of the given polynomial is a Hurwitz polynomial?
   (i)  s³ + 4s² + 5s +2
   (ii) s⁴ + 7s³ + 6s² + 21s + 8

Section B

Attempt any two of the following:

1. Explain how Bode-plot is made for calculation of stability. Explain for Type 0 and Type 1 system.
2. Derive maximum power transfer theorem in case of d.c and a.c network.
3. Derive expression for condition of symmetry in terms of Z and H parameter.

Section C

Attempt any two of the following:

1. Find the Laplace transform of function
   f (t) = t² sin (wt).
2. Why ABCD parameter is known as Transmission parameter? What is the condition of Reciprocity in case of ABCD parameter? Derive condition for symmetry of Transmission parameter?
3. For the network shown in Fig.1, Obtain the Open circuit impedance parameter and draw its equivalent circuit. In the fig, R₁ = R₃ =R₄ =2Ω and R₂ =1Ω

   

   Fig.1

   
   

Section D

Attempt any two of the following:

1. Determine the Foster and Cauer form of realization of the given driving-point impedance function Z(s)
   
2. Give the statement and explain the following theorems
   (i) Superposition Theorem
   (ii) Tellegen's Theorem
3. An impulse is applied at the input of a system and the output is observed to be the time function e^-2t. Find the transfer function of the system.

Section E

Attempt any two of the following:

1. What is Stability and how it is calculated by Routh Hurwitz criterion?
2. Derive Millman's theorem?
3. Synthesize the Foster first and second forms of LC driving point impedance.
   

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