Electrical Engineering Gate 2022 Questions with Answer

Ques 27 GATE 2022


The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as ζ and ωn, respectively. The values of ζ and ωn are

A

ζ=0.5 and ωn=10 rad/s

B

ζ=0.1 and ωn=10 rad/s

C

ζ=0.707 and ωn=10 rad/s

D

ζ=0.707 and ωn=100 rad/s


(a) is the correct answer.

Ques 28 GATE 2022


A MOD 2 and a MOD 5 up-counter when cascaded together results in a MOD ________ counter. (in integer)


(10) is the correct answer.

Ques 29 GATE 2022


The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of 20 ns, is ________. (round off to one decimal place)


(12.5) is the correct answer.

Ques 30 GATE 2022


The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is

A

split phase (resistance start).

B

shaded pole.

C

capacitor start.

D

capacitor start, capacitor run.


(d) is the correct answer.

Ques 31 GATE 2022


The frequencies of the stator and rotor currents flowing in a three-phase 8-pole induction motor are 40 Hz and 1 Hz, respectively. The motor speed, in rpm, is ________. (round off to nearest integer)


(585) is the correct answer.

Ques 32 GATE 2022


A 280 V, separately excited DC motor with armature resistance of 1Ω and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of 30 A when running at a speed of 1000 rpm. Neglect frictional losses in the motor. The speed, in rpm, at which the motor will run, if an additional resistance of value 10Ω is connected in series with the armature, is ________. (round off to nearest integer)


(483) is the correct answer.

Ques 33 GATE 2022


A 4-pole induction motor with inertia of 0.1 kg-m2 drives a constant load torque of 2 Nm. The speed of the motor is increased linearly from 1000 rpm to 1500 rpm in 4 seconds as shown in the figure below. Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ________. (round off to nearest integer)


(685) is the correct answer.

Ques 34 GATE 2022


A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with negligible armature resistance. The shaft load on the motor is 10 kW while the power factor is 0.8 leading. The loss in the motor is 2 kW. The magnitude of the per phase excitation emf of the motor, in volts, is ________. (round off to nearest integer).


(244) is the correct answer.

Ques 35 GATE 2022


A 3-phase, 415 V, 4-pole, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to 2 times of the rated current using a 3-phase autotransformer. If the magnetizing impedance of the induction motor and no load current of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________. (round off to two decimal places).


(0.63) is the correct answer.

Ques 36 GATE 2022


A balanced Wheatstone bridge ABCD has the following arm resistances: RAB=1 kΩ±2.1%; RBC=100 Ω±0.5%; RCD is an unknown resistance; RDA=300 Ω±0.4%. The value of RCD and its accuracy is

A

30 Ω ± 3 Ω

B

30 Ω ± 0.9 Ω

C

3000 Ω ± 90 Ω

D

3000 Ω ± 3 Ω


(b) is the correct answer.

Ques 37 GATE 2022


A long conducting cylinder having a radius 'b' is placed along the z axis. The current density is J = Jar3ẑ for the region r < b where r is the distance in the radial direction. The magnetic field intensity (H) for the region inside the conductor (i.e. for r

A

(Ja/4)r4

B

(Ja/3)r3

C

(Ja/5)r4

D

Jar3


(c) is the correct answer.

Ques 38 GATE 2022


If the magnetic field intensity (H) in a conducting region is given by the expression, H = x2î + x2y2ĵ + x2y2z2k̂ A/m. The magnitude of the current density, in A/m2, at x=1m, y=2m, and z=1m, is

A

8

B

12

C

16

D

20


(b) is the correct answer.

Ques 39 GATE 2022


As shown in the figure below, two concentric conducting spherical shells, centered at r=0 and having radii r=c and r=d are maintained at potentials such that the potential V(r) at r=c is V1 and V(r) at r=d is V2. Assume that V(r) depends only on r, where r is the radial distance. The expression for V(r) in the region between r=c and r=d is

A

cd(V2-V1)/((d-c)r) - (V1c+V2d-2V1d)/(d-c)

B

cd(V1-V2)/((d-c)r) + (V2d-V1c)/(d-c)

C

cd(V1-V2)/((d-c)r) - (V1c-V2c)/(d-c)

D

cd(V2-V1)/((d-c)r) - (V2c-V1c)/(d-c)


(b) is the correct answer.

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