Electrical Engineering GATE 2016 Set-1 Questions with Answer

Ques 14 Control Systems


Loop transfer function of a feedback system is G(s)H(s) = (s+3)/(s2(s-3)). Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of G(s)H(s) encircles -1+j0

A

once in clockwise direction

B

twice in clockwise direction

C

once in anticlockwise direction

D

twice in anticlockwise direction



Ques 15 Control Systems


Given the following polynomial equation
s3 + 5.5s2 + 8.5s + 3 = 0,
the number of roots of the polynomial, which have real parts strictly less than -1, is ________.


2 is the correct answer.


Ques 16 Digital Electronics


A temperature in the range of -40°C to 55°C is to be measured with a resolution of 0.1°C. The minimum number of ADC bits required to get a matching dynamic range of the temperature sensor is

A

8

B

10

C

12

D

14



Ques 17 Digital Electronics


Consider the following circuit which uses a 2-to-1 multiplexer as shown in the figure below. The Boolean expression for output F in terms of A and B is

A

A⊕B

B

(A+B)'

C

A+B

D

(A⨁B)'



Ques 18 Digital Electronics


The current state QAQB of a two JK flip-flop system is 00. Assume that the clock rise-time is much smaller than the delay of the JK flip-flop. The next state of the system is

A

00

B

01

C

11

D

10



Ques 19 Digital Electronics


A 2-bit flash Analog to Digital Converter (ADC) is given below. The input is 0 ≤ VIN ≤ 3 Volts. The expression for the LSB of the output B0 as a Boolean function of X2, X1, and X0 is

A

X0[X2⊕X1]

B

0[X2⊕X1]

C

X0[X̅2⊕X̅1]

D

0[X̅2⊕X̅1]



Ques 20 Electrical Machines


In a constant V/f induction motor drive, the slip at the maximum torque

A

is directly proportional to the synchronous speed.

B

remains constant with respect to the synchronous speed.

C

has an inverse relation with the synchronous speed.

D

has no relation with the synchronous speed.



Ques 21 Electrical Machines


A 4-pole, lap-connected, separately excited dc motor is drawing a steady current of 40 A while running at 600 rpm. A good approximation for the waveshape of the current in an armature conductor of the motor is given by

A

B

C

D



Ques 22 Electrical Machines


A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz, the value of the hysteresis loss divided by the eddy current loss is ________.


0.58 is the correct answer.


Ques 23 Electrical Machines


A DC shunt generator delivers 45 A at a terminal voltage of 220 V. The armature and the shunt field resistances are 0.01 Ω and 44 Ω respectively. The stray losses are 375 W. The percentage efficiency of the DC generator is ________.


87.9 is the correct answer.


Ques 24 Electrical Machines


A three-phase, 50 Hz salient-pole synchronous motor has a per-phase direct-axis reactance (Xd) of 0.8 pu and a per-phase quadrature-axis reactance (Xq) of 0.6 pu. Resistance of the machine is negligible. It is drawing full-load current at 0.8 pf (leading). When the terminal voltage is 1 pu, per-phase induced voltage, in pu, is ________.


1.456 is the correct answer.


Ques 25 Electrical Machines


A single-phase, 22 kVA, 2200 V/ 220 V, 50 Hz, distribution transformer is to be connected as an auto-transformer to get an output voltage of 2420 V. Its maximum kVA rating as an auto-transformer is

A

22

B

24.2

C

242

D

2420



Ques 26 Electrical Measurements


A dc voltage with ripple is given by v(t) = [100 + 10sin(ωt) - 5sin(3ωt)] volts. Measurements of this voltage v(t), made by moving-coil and moving-iron voltmeters, show readings of V1 and V2 respectively. The value of V2 - V1, in volts, is ________.


0.62 is the correct answer.


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