Biju Patnaik University of Technology 2010-2nd Sem B.Tech Electronics and Tele-Communication Engineering Network Theory 3rd semester- Biju patnaik university of technolgy - Question Paper

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CPES 5201/BEEE 2211 /BEES 2211(0/N)

Third Semester Examination - 2010

NETWORK THEORY (Old and New Course)

Full Marks-70

.    Time : 3 Hours

Answer Question No. 1 which is compulsory and any five from the rest.

The figures in the right-hand margin indicate marks.

1. Answer the following questions in brief:    2x10

(a)    List the sets of information that can be derived from an incidence matrix as obtained from the graph of a network.

(b)    Justify that the efficiency of a network is 50% during maximum power transfer.

(c)    Give the expression for loop voltage in a closed loop of a network

containing a time varying voltage source v (t) as excitation. The circuit

elements include a resistance R, an inductor with self inductance L and mutual inductance M.    '

(d Find the Laplace Transform of the functions : f(t) = e^al and f(t) = e^_al

(e)    For a two port network, give the expression for y-parameters in terms of h-parameters.

(f)    Explain the term "Coefficient of Coupling" and narrate its significance for coupled circuits.

(g) Find the value of R in the network given below for maximum power transfer.

(h) Obtain the z-parameters for the network shown below :

-w 1ohm 2 ohm 1ohm
V.	'l ? 2 ohm < ; 2 ohm V. - -

(i) List three properties of Fourier transforms.

(j) Explain why non-linear systems cannot be analyzed by Laplace transform method ?

(a) In the circuit shown below find the value of current I through the load by applying Millmans theorem assuming load resistance R of 5 ohm. 5

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3 ohm

4v

2v

X

(b) State and explain the Tellegenss theorem and its applicability.

Or

State and explain the Reciprocity theorem and its applicability.    5

CPES 5201/BEEE 2211 /BEES 2211(0/N) (2)    Contd.

3 (a) Find the inverse Laplace transform of the function given by F(s) -12 5

(s + 2)ⁱ(s + 4)    .

(b) What do you mean by positive-real function ? By applying continued

fraction expansion examine whether a given function

A(s) = 4s⁶ + 3s⁶ + 2s⁴ + 5s³ + 2s² + 3s + 4 is Hurwitz ?    ⁵

4.    (a) In a R-L-C series circuit, the resistance, inductance and capacitance

values are 2(2, 1 H and 0.5 F respectively. The circuit is excited with the help of a switch from a DC source of 50 V having negligible internal resistance. By applying Laplace Transform method find the current i(t) in the circuit, if the switch is closed at t = 0.    5

(b) Derive the expression for resonant frequency for R-L-C series circuit. How does this differ from the resonant frequency of an R-L-C parallel circuit ?    5

5.    What do you mean by network synthesis? The network function for a given

s(s + 2) _

network is given by (s) = (_{s +} i)(_{s +} 3)- Realize the network function in Foster-ll form and show the network connections in a neat diagram.    10

6.    Explain the functionalities of transmission parameters for two port networks. Also derive the inter-relation between transmission parameters and z-para-meters. Given that the z-parameters of a two port network are presented as

8. Write short notes on any two :    6*2

(a)    Resonant frequency, Band width, Quality factor and their inlerrwlrtlirifi,

(b)    Derive the condition for maximum power transfer in a complox network

(c)    Time domain behavior from pole-zero plots.

CP ES 5201/BEEE 2211 / BEES 2211(0/N) (4)

Attachment: biju-patnaik-university-of-technology-2010-b-tech-electronics-and-tele-communication-engineering-36258-1.pdf

Earning:   Approval pending.