Electrical Engineering Gate 2016 Set-1 Questions with Answer

Ques 14 GATE 2016 SET-1

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

once in clockwise direction

twice in clockwise direction

once in anticlockwise direction

twice in anticlockwise direction

Ques 15 GATE 2016 SET-1

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 GATE 2016 SET-1

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

(b) is the correct answer.

Ques 17 GATE 2016 SET-1

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⊕B

(A+B)'

A+B

(A⨁B)'

(d) is the correct answer.

Ques 18 GATE 2016 SET-1

The current state Q_AQ_B 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

Ques 19 GATE 2016 SET-1

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

X₀[X₂⊕X₁]

X̅₀[X₂⊕X₁]

X₀[X̅₂⊕X̅₁]

X̅₀[X̅₂⊕X̅₁]

(a) is the correct answer.

Ques 20 GATE 2016 SET-1

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

is directly proportional to the synchronous speed.

remains constant with respect to the synchronous speed.

has an inverse relation with the synchronous speed.

has no relation with the synchronous speed.

(b) is the correct answer.

Ques 21 GATE 2016 SET-1

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

Ques 22 GATE 2016 SET-1

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 GATE 2016 SET-1

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 GATE 2016 SET-1

A three-phase, 50 Hz salient-pole synchronous motor has a per-phase direct-axis reactance (X_d) of 0.8 pu and a per-phase quadrature-axis reactance (X_q) 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 GATE 2016 SET-1

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

24.2

242

2420

Ques 26 GATE 2016 SET-1

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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