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) = eal 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 :
I
-w 1ohm 2 ohm 1ohm | |||||||
V. |
|
(i) List three properties of Fourier transforms.
(j) Explain why non-linear systems cannot be analyzed by Laplace transform method ?
2.
(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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I
i- i
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
"H . -12 "21 ---------22 parameters for the same network. Find the Fourier series for the function whose periodic waveform is shown in the figure below: . 1q |
7.
z. - 10Q, z12 - z21 - 5 Q , and z = 20f2, find the values of transmission
10
P.T.O.
CPES 5201/BEEE 2211 /BEES 2211(0/N) (3)
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: |
Earning: Approval pending. |