Indian Institute of Technology Kanpur (IIT-K) 2007 M.E Electronics and Control Engineering Electronics and Telecommunications - Question Paper

11. The input impedance (Z,)and the output impedance (Z0)of an ideal transconductance
(voltage controlled current source) amplifier are
(A) Z,=0,Z0=0
(B) Z,=O,Z0=oo
(C) Z,=oo,Z0=O
(D) Z = 00, =
12. An n-channel depletion MOSFET has subsequent 2 points on its ID VGS curve:
(i) VGS = 0 at ID = l2mA and
(ii) VGS = —6 Volts at ID =
Which of the subsequent Q-points will provide the highest trans-conductance gain for
small signals?
(A) VGS = —6 Volts
(B) VGS = —3 Volts
(C) VGS = 0 Volts
(D) VGS = three Volts
13. The number of product terms in the minimized sum-of-product expression found
through the subsequent K-map is (where “d” denotes don’t care states)
1001
0d00
00d 1
1001
(A) 2
(B) 3
(C) 4
(D) 5
14. The Dirac delta function 8(t) is described as
(A) 8(t)=1 t=O.
L° otherwise
100 t=O
(B) 8(t)=.
LO otherwise
(C) 8(t) = = . and [8(t)dt = 1
L otherwise
(D) 8(t)=4°° t=O and [8(t)dt=1
L otherwise
15. The open-loop transfer function of a unity-gain feedback control system is provided by The
gain margin of the system in dB is provided by
(A) 0
(B) 1
(C) 20
(D)
16. The electric field of an electromagnetic wave propagating in the positive zdirection is provided
by
E=asin(at—flz)+asinot—flz+.
The wave is
(A) linearly polarized in the z-direction
(B) elliptically polarized
(C) left-hand circularly polarized
(D) right-hand circularly polarized
17. A transmission line is feeding one Watt of power to a horn antenna having a gain of
10 dB. The antenna is matched to the transmission line. The total power radiated by the horn
antenna into the free-space is:
(A) 10 Watts
(B) one Watt
(C) 0.1 Watt
(D) 0.01 Watt
18. The eigenvalues and the corresponding eigenvectors of a two x two matrix are provided by
Eigenvalue Eigenvector
A1=8
A2=4 v2=[hil
The matrix is:
(A) six two L2 6
(B) six L6 4
(C) r L 2
(D) eight L8 4
19. For the function of a complex variable W = lnZ
(where, W=u+jv and Z=x+jy),the u=constant lines get mapped in Z-plane as
(A) set of radial straight lines
(B) set of concentric circles
(C) set of confocal hyperbolas
(D) set of confocal ellipses
20. 3 companies, X, Y and Z supply computers to a university. The percentage of
computers supplied by them and the probability of those being defective are tabulated beneath.
provided that a computer is defective, the probability that it was supplied by Y is:
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
21. For the matrix [ jthe eigenvalue corresponding to the eigenvector is:
(A) 2
(B) 4
(C) 6
(D) 8
22. For the differential formula + k2y = 0 the boundary conditions are
Compan
y
°h of computers
supplied
Probability of being defective
X 60°h 0.01
Y 30°h 0.02
Z 10°h 0,03
(i) y=Oforx=Oand
(ii) y=Oforx=a
The form of non-zero solutions of y (where mvaries over all integers) are m,rx
(A) y=AmsIn
m a
m,rx
(B) y= AmCO5
m a
(C) Y=4m
mrx
(D) y=Amea
23. Consider the function f (t) having Laplace transform
2 two Re[sl>O
S +a)0
The final value of f(t)would be:
(A) 0
(B) 1
(C) —1 f(oo) 1
(D)
24. As x is increased from — to 00, the function
ex
f(x)=
1 + ex
(A) monotonically increases
(B) monotonically reduces
(C) increases to a maximum value and then reduces
(D) reduces to a minimum value and then increases
25. The 1st and the last critical frequencies (singularities) of a driving point impedance
function of a passive network having 2 types of elements, are a pole and a zero
respectively. The above property will be satisfied by
(A) RL network only
(B) RC network only
(C) LC network only
(D) RC as well as RL networks

Earning:   Approval pending.