Full Text Transcript
Text below was recognized via OCR from scanned pages and may contain minor errors. Mathematical formulas and symbols may be approximate - please refer to the PDF for the exact equations.
Engineering Services (Mai
Examination, ogo eee
ELECTRONICS AND TELECOMMUNICATION
ENGINEERING
Paper - I
Time Allowed : Three Hours Maximum Marks : 300
Question Paper Specific Instructions
Please read each of the following instructions carefully before attempting
questions :
There are EIGHT questions divided in TWO sections.
Candidate has to attempt FIVE questions in all.
Questions No. 1 and 5 are compulsory and out of the remaining, any THREE are to be
attempted choosing at least ONE question from each section.
The number of marks carried by a question/part is indicated against it.
Wherever any assumptions are made for answering a question, they must be clearly
indicated.
Diagrams/figures, wherever required, shall be drawn in the space provided for answering
the question itself.
Unless otherwise mentioned, symbols and notations have their usual standard meanings.
Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a
question shall be counted even if attempted partly.
Any page or portion of the page left blank in the Question-cum-Answer (QCA) Booklet must
be clearly struck off.
Answers must be written in ENGLISH only.
Values of constants which may be required :
Electron charge = — 1:6 x 10-19 Coulomb
Free space permeability “= 47 x 10-7 Henry/m
Free space permittivity = (1/367) x 10-9 Farad/m
Velocity of light in free space = 3 x 108 m/s
Boltzmann constant = 1:38 x 10°73 J/K
Planck’s constant = 6-626 x 10-74J-s
SGSE-O-ETE z
1.
(2)
(1)
(c)
()
SECTION A
Consider an ideal pMOS capacitor of area 100 um x 100 |) operated
at T = 300 K. (work ‘function for the metal) = 5:2 eV,
2) (oxide thickness) = 3 nm and Np = 10!7/em®. Calculate the flat
band voltage Vpg and the threshold voltage സന്തു. Assume
= 3-43 x 1073 F/em, Vy (thermal voltage) = 0026 V, n; = 10!%cm3,
79; (electron affinity of Si) = 4-05 eV, Eg = 1.12 eV and Eg; = 10-2 F/em. 72
In the circuit shown in the figure below, 11] serves as an electronic
switch. If . is very small, determine W/L such that circuit attenuates
the signal by 5%.
Assume Vg = 1:8 V and Ry, = 100 .
pA
Co, = 200 ye and = 0-4 V. 12
"5 © Vout
in -M,
Ry
Find the voltage in the circuit shown in the figure using source
transformation. Also, find the power developed by the 250 V voltage
source.
250 50
AW
50 రెడీ =+ 15೧
2
250
An electrical load absorbs an average power of 85 kW at lagging power
factor of 0-85. If the load operates at 240 V rms, calculate the complex
power and impedance of the load. 2
SGSE-O-ETE 2
fe) @
(ii)
Draw neat sketches of the edge and screw dislocations. Illustrate
the Burger’s vector on the sketches of dislocations.
Calculate the line energy of dislocation in BCC iron if the shear
modulus and lattice parameter of BCC iron are 80:2 GN/m? and
2-87 A, respectively.
Q2. (a) Ap-njunction solar cell is fabricated using silicon and has the following
important parameters :
Na = 3x 1018 /em3, Np = 2 x 1016/em3
D, = 25 cm’/s, D, = 10 em?/s
to =4X10-'s, T)O0 = 10-7 s
The photocurrent density Jj, = 20 mA/cm?, Calculate the open circuit
voltage of the solar cell at T = 300 K. Assume n;, = 1:5 x 101%cem3,
(b) @
(ii)
c)- - @)
Gi)
Q3. (a) (i)
(ii)
SGSE-O-ETE
What are the two functions of commutator in DC machines ?
Explain how the commutator keeps the armature mmf stationary
in space, along the interpolar axis, even though the armature
rotates.
Explain why end-centred tetragonal geometry does not exist in
Bravais crystal structures.
Differentiate between different types of magnetic materials on the
basis of magnetic dipoles and hysteresis loops.
Design a Widlar current source shown in the figure below to give
I, = 5 pA and Ip = 1 mA. The parameters are Vcc = 30 V,
Vpri = 0:7 V, Vr = 26 mV and By = 100.
Voc
777
Design an amplifier that has a voltage gain of 2 if Vqy < 0 and 1,
if Vpy > 0. Assume ideal diodes and ideal op amps are available.
=
6
6
20
5
15
10
10
10
10
(b)
(c)
(a)
@
Gi)
@
(a)
Discuss the points of similarities between a transformer and
induction machine. Explain, why an induction machine is called a
generalized transformer.
A 10 kVA/2500/250 V, single-phase transformer has the following
parameters :
Primary winding (h.v. side) : Resistance rj = 2-4 Q
Leakage Reactance, x, = 6:00 Q
Secondary winding (1.v. side) : Resistance ro = 0-03 Q
Leakage Reactance, x9 = 0-07 Q
With primary supply voltage held constant at 2500 V, calculate
the secondary terminal voltage, when the low voltage winding is
connected to a load impedance of 5 + j 3-5 Q and the transformer
delivers its rated current at 0-8 p.f. lagging on the low voltage
side.
Discuss photoelectric effect and find out the number of
photoelectrons emitted per unit time from a transmitter operated
at a frequency of 800 kHz and 10 kW power.
Define dielectric strength. Discuss different types of dielectric
breakdowns in solids.
For the circuit shown in the figure below, determine the frequency of
oscillation f, and overall voltage gain A,. Also identify the type of
oscillator. (Assume op amps are ideal)
1pF
int
i
1kQ DN e
is 1kO 1p
Ay WW If
ae
fe] Vol
je [Von
T7777
ANW.
4
10
10
10
10
20
©) Determine the impedance Zy, that results in maximum average
power transferred to , for the circuit shown in the figure.
Calculate the maximum average power transferred to the load
impedance determined. 10
50 130 ಕ್ಕೆ
000 9
20207 20 5
Q
360
.
b
(1) | What are the major factors that have led to the acceleration and
development of solar and wind power ? 10
(c) To produce a p-type semiconductor, the boron is doped in pure
silicon. Doping is done through a 3203 vapour phase of a surface
concentration equivalent to 3-3 x 1026 boron atoms/m®. Calculate the
time required to get a boron content of 1023 atoms/m? at a depth
of 2 ym. The doping temperature is 1000°C and Dg inSi at this
temperature is 4 x 10-177 m/s. 20
Given : erf (0-95) = 08209
erf (1-0) 7
erf (2-4) = 0-9993
erf (2-6) = 09998
SGSE-O-ETE
SECTION B
Q5. (a) Assume an ideal 10 bit ADC with Ver = 5 V is used to sample 1Vp_p
sinusoidal signal that has a 2-5 V offset. What percent of error can be
expected in the peak voltage measurement due to quantization effect of
the ADC ? (The error is relative to the magnitude of the sinusoid). 12
555 IC is connected as shown in the figure below. Determine the
frequency of oscillation and the duty cycle. (Assume that diode is an
ideal diode). 12
Ra 10 kQ
8
7
| 1010 3]
2
6
== 1 5
C = 0.01 pF eile
0-01 pF]
() The network of the figure contains both a dependent voltage
source and a dependent current source. Determine the y and z
parameters. 6
10 2]
+0 < >> +
, 310 0.1 2540
(ii) In the figure shown, a network with a steady state is reached with
switch K open. At t = 0, the switch is closed. For the element
values given, determine the value of v, (0—) and vg (0+).
102
WAM
102 Va 202
AAA T AW P%b
K
a ees: ARF
10Q
(dad) @ For the figure shown, find i}.
22
WA
12 b
AN MA
>i, 19
he He
lamp
$10 @ev
(ii) | The network of inductors in the figure below is composed of a 1 H
inductor on each edge of a cube with the inductors connected to
the vertices of the cube as shown. Find out the Lequivalent between
the terminals A — B.
(e)
(a)
(b)
It is desired to measure the voltage across the 50 kQ resistor in the
circuit shown in the figure. Two voltmeters are available for this
measurement : Voltmeter 1 with sensitivity of 1000 Q/V and Voltmeter 2
with a sensitivity of 20,000 Q/V. Both meters are used on their 50 — V
range. Calculate the reading of each meter. 12
WW
100 kQ
O+
150 V 50 kQ
=
For the circuit shown in the figure below, MOS and BJT are operating in
saturation and active mode, respectively. The capacitor C is very large
and Vy is small. The parameters of the transistors are
ln Cox = 100 pA/V?, Voy = 1 V, L = 2 pm, Vp = 25 mV, Bp = 100,
Vpr = 0:7 V and quiescent output voltage is 5 V. Size the MOSFET and
calculate the small signal voltage gain A, = - 2 20
s
° Vout
—
ee
v, = Viy sin (at + Q)
7777
Q
cos o
cos.cos( — B)
reading for electrodynamometer type of watt meters, where,
@) Prove that the true power = x actual watt meter
cos $ = power factor of the circuit, 8 = tan~! oL/R where, L and R
are the inductance and resistance of the pressure coil of the
circuit. 10
Gi) Explain why errors are large when the power factor is low. 10
SGSE-O-ETE Fg
( : 0) Find the Thevenin’s equivalent for the circuit at terminalsa—b. 70
- 13000
1
200 (2 1100
1
ba
10020", (+ ) (+) 100490, ?
(ii) For the ladder network determine the g parameters in the
s domain. 10
LH 1H
"1 “0-
12 1
Q7. (a) The parameters of the amplifier shown in the figure below are
Ro, = 4 kQ, Rp = 2 , 709 = 5 kQ, Rp = 4 and Rg = 200 . The DC
bias currents of the transistor are 101 = 0.5 mA, Ic, = 1 mA. The
transistor parameters are hg, = hg, = hfe = 150. Use the techniques of
feedback analysis to calculate the input resistance Ryp, the output
resistance Roy and the closed loop transresistance gain Ar. Assume
Vp = 25 mV. 20
4kQ
AW
Rp
200
0
Rg +
+ Vo
Vs 92 Ro,
= ReZ2kQ
>
= @ Explain at least five advantages and disadvantages of LVDT.
State at least two uses of LVDTs. 10
Gi) The output of an LVDT is connected to a 5 V voltmeter through
an amplifier whose amplification factor is 200. An output of 2 mV
appears across the terminals of LVDT when the core moves
through a distance of 0-5 mm. Calculate the sensitivity of the
LVDT and that of the whole set-up. The milli voltmeter scale has
100 divisions. The scale can be read to 1/5 of a division. Calculate
the resolution of the instrument in mm. 10
(6) 2G) In the series RL circuit, the switch is in position 1 long enough to
establish the steady state and is switched to position 2 at t = 0.
Find the current i. 10
1 : 2 any 200
i
ete 04H
(i) Obtain the overall ABCD parameters of the circuit. 10
Z ne i
° 1 I oO
[Js
Qs.
(a)
(b)
(i) Determine the functional behaviour of the circuit. Assume that
input w is driven by a square wave signal. 10
J Q J Qr-Q,
w > >
K Q ik Q
f
>
Clear
(ii) In the circuit shown in the figure below, the gate voltage Vg is
very small. Assume op amp is an ideal op amp, Vy = 1 V and
Hy Coy W _ 200 pA
; 1 oltage. 1
L v2 Calculate output voltage 0
AWW
20 kQ
av
Gi) Describe the construction and working of a shunt type ohmmeter.
Write down its design equations. 10
(ii) |The ohmmeter shown in the figure uses a 100 Q basic movement
. requiring a full-scale current of 1 mA. The internal battery
voltage is 3 V. The desired scale marking for half-scale deflection
is 2000 Q. Calculate the value of R, and Rg, and the maximum
value of Ry to compensate for a 10% drop in the battery voltage. 10
Ry A
AWW 4 Oo <
Ro
Ru (A) = R,
w
(c) A series resonant network consists of a 50 Q resistor, a 4 mH inductor
and a 0-1 uF capacitor. Calculate values for (a) os (b) fo, (c) Qo, (d) BW,
(e) 4, (f) ag, (g) Zin at 45 k rad/sec, and (h), the ratio of magnitude of the
capacitor impedance to resistor impedance at 45 k rad/sec. 20

