Biju Patnaik University of Technology 2008 B.Tech (B Tech) , 3rd semester fluid mechanics and hydraulic machines . - Question Paper
BPUT(B Tech) , third semester fluid mechanics and hydraulic machines ques. paper.
Third Semester Examination - 2008 NETWORK THEORY Full Marks-70
Time: 3 Hours
Answer Question No, 1 which is compulsory
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4
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and,any five from the rest.
The figures in the right-hand margin indicate marks.
Answer the following questions : 2 x 10
(i) Two coils in. differential! connection have self inductance of 2 mH and 4 mH and a mutual' inductance of 0,15 mH What is the equivalent inductance ?
(ii) Under what condition the power in a series RLC circuit will be half of that at resonance ?
(Hi) What are the Laplace transform of the following voltage waveform shown in Fig.1 ?
(iv) Check whether the following function j positive real.
IV
s - s - 8
s + 2s-2
Compare a first order low-pass filter to a second order low-pass filter in terms of (i) Voltage gain, (ii) cut-off frequency etc.
(V)
(Vi)
(vii)
Why 2-parameters are known as open circuit parameters ?
A two-port device is defined by the following pair of equations it = 2Vt + V? and i2 = + V. Write its impedance parameters Z;r Z12, Z,Z2r
(viii) For a n network having series impedances as Z1 and shunt impedance is 2 Z2, what is the image impedance ?
(ix) Can you design a fiiter (low and high pass) for cut-off frequency 50 Hz. If you can,
what is the value of parameters ?
(x) Synthesize
in Cauer I form.
(a) Using Mesh analysis determines the current in 1 n resistor of the network shown
5
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A/W |
A/W
(b) in the network system shown in Ftg, 3 find the current through Z3 using Nodal Method, the values of voltages are grven in votts and the impedances are tn Ohms. 5
Zj 8-j8 --\)
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0>8 - A I o v 8 za- (10 it > s IWL (Fig. 3) -AA/V (a) In the circuit shown in Fig. 4 capacitor C has an initial voltage Vc = 10 V and at the same instant, current through inductor L is zero, the switch K is closed at time t = 0. Find out the expression for the voltage V(t) across in inductor L. 5 C = % F (Fig. 5) 5 |
A step voltage 3u(t-3) is applied to a series RLC circuit comprising resistor R - 5n, inductor L = 1 H and capacitor C = -F, find expression for current i(t) in the circuit. 5 R = 5 Ohm L = 1H J-VWY. 3u(t-3) (P) _j- ' |
4.
21.
AM/-
1 Ohm
(a) Determine the Z, ABCD and h parameters
of given network as shown in Fig. 6. 6
' 2l,
r-
-AA/V 1 Ohm
1-
(a) The transform current l(s) in a given network
is given by /{s) =__?_
(s + 2)(s2 +2s + 2)
obtain the pole zero plot and hence the time domain response. 5
(b) Obtain the transfer impedance for the circuit shown in Fig. 8. 5
V.
V.
1 Ohm
(Fig. 6)
(b) Determine the Y-parameters of the given |WL
network shown in Fig. 7. i,
OW\r
IF I,
6. Find (a) the trigonometric and (b) exponential form of Fourier series for the waveform shown in Fig. 9. 10
2 Ohm
V.
V.
(Fig. 7)
1 H
7. (a) A constant K high,pass lifter Ss required for a cut-off frequency of 1500 Hz. The resistance of the load circuit is 600 q. Determine the values of the components required- 4
(b) A constant K low pas filter isdesigned to cut off at frequency 1000 Hz andi the resistance of the load circuit is 50 n. Calculate the values of the components required and the attenuation constant per section at a frequency of 1500 Hz, 6
8. A function is given by
Realise it in the first and second form of Foster LC forms. 10
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Attachment: |
| Earning: Approval pending. |
