Electrical Engineering Gate Yearwise 




Electrical Engineering GATE 2019 Questions with Answer

Ques 40 Electrical Engineering

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 Electrical Machine

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%



Ques 42 Electrical Machine

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 Electronic Devices

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 General Aptitude

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

A

3375

B

2744

C

2197

D

4096



Ques 45 Mathematics

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



Ques 46 Mathematics

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


3 is the correct answer.


Ques 47 Mathematics

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



Ques 48 Mathematics

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



Ques 49 Mathematics

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



Ques 50 Power Electronics

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



Ques 51 Power System

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 Signal and Systems

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)



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