Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2019 Questions with Answer

Ques 40 GATE 2019

The magnitude of three-phase power supplied to a balanced star-connected load is 80 kW at 0.8 p.f. leading. The line voltage is 400 V, 50 Hz. The magnitude of the line current is _________ A (round off to one decimal place).


(144.0 to 144.5) is the correct answer.

Ques 41 Gate 2019

A 5 kVA, 50 V/100 V, single-phase transformer has a secondary terminal voltage of 95 V when loaded. The regulation of the transformer is

A

4.5%

B

1%

C

9%

D

5%


(d) is the correct answer.

Ques 42 Gate 2019

The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is


(a) is the correct answer.

Ques 43 Gate 2019

The output voltage of a single-phase full bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms component of output voltage to be 75% of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ________.


(112.5-113.2) is the correct answer.

Ques 44 GATE 2019

The missing number in the given sequence 343, 1331, ________ 4913 is

A

3375

B

2744

C

2197

D

4096


(c) is the correct answer.

Ques 45 Gate 2019

Which one of the following functions is analytic in the region |z| ≤ 1?

A

z2-1 / z+2

B

z2-1 / z+0.5

C

z2-1 / z

D

z2-1 / z+j0.5


(a) is the correct answer.

Ques 46 Gate 2019

The rank of the matrix, M= , is ___________.


(3) is the correct answer.

Ques 47 Gate 2019

M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M2 are

A

2 and 3

B

−2 and −3

C

4 and 9

D

16 and 81


(d) is the correct answer.

Ques 48 Gate 2019

The inverse Laplace transform of H(s) =

s+3 / s2+2s+1
for t ≥ 0 is

A

3 te-t+e-t

B

2 te-t+e-t

C

4 te-t+e-t

D

3e-t


(b) is the correct answer.

Ques 49 Gate 2019

The partial differential equation

∂2u / ∂t2
-c2
∂2u / ∂x2
+
∂2u / ∂y2
=0; where `c ≠ 0 is known as

A

Poisson’s equation

B

Laplace equation

C

Wave equation

D

heat equation


(c) is the correct answer.

Ques 50 Gate 2019

A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is

A

100 Hz

B

250 Hz

C

150 Hz

D

300 Hz


(b) is the correct answer.

Ques 51 Gate 2019

Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short-circuit level in MVA at the busbar is _________.


(100) is the correct answer.

Ques 52 Gate 2019

The symbols, a and T, represent positive quantities and u(t) is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?

A

a+atu(t)

B

a-a(t+T)u(t)

C

a-a(t-T)u(t)

D

1+a-atu(t)


(a) is the correct answer.

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