| No. |
Question |
|---|
| 1 |
The RMS value of the voltage u(t) =3 + 4cos
(3t) is |
| Options |
| A)
V |
B) 5 V |
| C) 7 V |
D) (3 + 2
) V |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 2 |
The open loop transfer function of a unity feed back control
system is given as
G(s) =
The value of ‘a’ to give a phase margin of 45° is equal to |
| Options |
| A) 0.141 |
B) 0.441
|
| C) 0.841 |
D) 1.141 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 3 |
The armature resistance of a permanent magnet
dc motor is 0.8 W. At no load, the motor draws 1.5 A from a supply
voltage of 25 V and runs at 1500 rpm. The efficiency of the motor
while it is operating on load at 1500 rpm drawing a current of 3.5 A
from the same source will be |
| Options |
| A) 48.0% |
B) 57.1%
|
| C) 59.2% |
D) 88.8% |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 4 |
The solution of the first order differential
equation x(t) = -3x(t), x (0) = x0 is
|
| Options |
| A) x (t) = x0 e-3t |
B) x (t) = x0 e-3
|
| C) x (t) = x0 e-1/3 |
D) x (t) = x0 e-1 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 5 |
The unit impulse response of a second order
under-damped system starting from rest is given by
c(t) = 12.5 e-6t sin 8 t, t 
0
The steady-state value of the unit step response of the system is
equal to |
| Options |
| A) 0 |
B) 0.25 |
| C) 0.5 |
D) 1.0 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 6 |
A single-phase, 230 V, 50 Hz, 4 pole, capacitor-start induction
motor has the following stand-still impedances
Main winding Zm = 6.0 + j4.0 W
Auxiliary winding Za = 8.0 + j6.0 W
The value of the starting capacitor required to produce 90° phase
difference between the currents in the main and auxiliary windings
will be
|
| Options |
| A) 176.84 mF |
B) 187.24 mF |
| C) 265.26 mF |
D) 280.86 mF
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 7 |
A single-phase half-controlled rectifier is driving a separately
excited dc motor. The dc motor has a back emf constant of 0.5 V/rpm.
The armature current is 5 A without any ripple. The armature
resistance is 2W. The converter is
working from a 280 V, single phase ac source with a firing angle of
80°. Under this operating condition, the speed of the motor will be
|
| Options |
| A) 339 rpm |
B) 359 rpm |
| C) 366 rpm |
D) 386 rpm |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 8 |
The 8085 assembly language instruction that
stores the content of H and L registers into the memory locations
2050H and 2051H, respectively, is
|
| Options |
| A) SPHL 2050H |
B) SPHL2051H |
| C) SHLD 2050H |
D) STAX 2050H
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 9 |
A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator
is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a
fault occurs reducing is electric power output by 40%. Neglect
losses and assume constant power input to the shaft. The
accelerating torque in the generator in MNm at the time of the fault
will be |
| Options |
| A) 1.528 |
B) 1.018 |
| C) 0.848 |
D) 0.509 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
A |
|
| 10 |
The Nyquist plot of loop transfer function G(s)
H(s) of a closed loop control system passes through the point (-1,
j0) in the G(s) H(s) plane. The phase margin of the system is |
| Options |
| A) 0° |
B) 45°
|
| C) 90° |
D) 180°
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 11 |
A 50 kW dc shunt motor is loaded to draw rated armature current
at any given speed. When driven
(i) at half the rated speed by armature voltage control and
(ii) at 1.5 times the rated speed by field control, the
respective output powers delivered by the motor are approximately.
|
| Options |
| A) 25kW in (i) and 75kW in (ii) |
B) 25kW in (i) and 50kW in (ii)
|
| C) 50kW in (i) and 75kW in (ii) |
D) 50kW in (i) and 50kW in (ii) |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 12 |
A hydraulic turbine having rated speed of 250
rpm is connected to a synchronous generator. In order to produce
power at 50 Hz, the number of poles required in the generator are |
| Options |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 13 |
For the equation x(t)+3 x(t) +2x(t) = 5, the
solution x (t) approaches which of the following values as t ® ¥ ? |
| Options |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 14 |
The following motor definitely has a permanent
magnet rotor |
| Options |
| A) DC commutator motor |
B) Brushless dc motor
|
| C) Stepper motor |
D) Reluctance motor |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
C |
|
| 15 |
A110 kV, single core coaxial, XLPE insulated
power cable delivering power at 50Hz, has a capacitance of 125 nF/km.
If the dielectric loss tangent of XLPE is 2 x 10-4, the
dielectric power loss in this cable in W/km is |
| Options |
| A) 5.0 |
B) 31.7
|
| C) 37.8 |
D) 189.0 |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 16 |
The simultaneous application of signals x(t)
and y(t) to the horizontal and vertical plates, respectively, of an
oscilloscope, produces a vertical figure-of-8 display. If P and Q
are constants, and x(t) = P sin (4t + 30), then y(t) is equal to |
| Options |
| A) Q sin (4t - 30) |
B) Q sin (2t + 15)
|
| C) Q sin (8t + 60) |
D) Q sin (4t + 30) |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 17 |
A 500 MW 3-phase Y-connected synchronous
generator has a rated voltage of 21.5 kV at 0.85pf. The line current
when operating at full load rated conditions will be |
| Options |
| A) 13.43 kA |
B) 15.79 kA
|
| C) 23.25 kA |
D) 27.36 kA |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 18 |
Total instantaneous power supplied by a 3-phase ac supply to a
balanced R-L load is
|
| Options |
| A) zero |
B) constant
|
| C) pulsating with zero average |
D) pulsating with non-zero average |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
B |
|
| 19 |
The equivalent circuit of a transformer has
leakage reactances X1 , X |
| Options |
| A) X1>> X |
B) X1<< X |
| C) X1» X |
D) X1» X |
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
|
| 20 |
If P and Q are two random events, then the
following is TRUE
|
| Options |
A) Independence of P and Q implies that probability
(P  Q
) = 0
|
B) Probability (P 
Q )
Probability (P) + Probability (Q)
|
C) If P and Q are mutually exclusive, then they
must be independent
|
D) Probability (P 
Q ) 
Probability (P)
|
|
| Your Answer |
(Not
Answered) |
| Correct Answer |
D |
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Topic: GATE – Sample Questions - EEE
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