Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2019 Questions with Answer

Ques 27 GATE 2019

The closed loop line integral ∮|z|=5 [(z3 + z2 + 8) / (z + 2)] dz evaluated counter-clockwise, is

A

+8jπ

B

-8jπ

C

-4jπ

D

+4jπ


(a) is the correct answer.

Ques 28 GATE 2019

The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below.

Consider the following two statements.
Statement I: Transfer function G(s) has three poles and one zero.
Statement II: At very high frequency (ω → ∞), the phase angle ∠G(jω) = −3π⁄2.
Which one of the following options is correct?

A

Statement I is true and statement II is false.

B

Statement I is false and statement II is true.

C

Both the statements are true.

D

Both the statements are false.


(c) is the correct answer.

Ques 29 GATE 2019

The transfer function of a phase lead compensator is given by
D(s) = (3(s + 1⁄37)) / (s + 1⁄T).
The frequency (in rad/sec) at which ∠D(jω) is maximum, is

A

√3⁄T2

B

√(1/3T2)

C

√3T

D

√(3T²)


(b) is the correct answer.

Ques 30 GATE 2019

Consider a state-variable model of a system

where y is the output, and r is the input. The damping ratio xi and the undamped natural frequency ωn (rad/sec) of the system are given by

A

ξ = β / √α     ωn = √α

B

ξ = √α;     ωn = β / √α

C

ξ = √α / β     ωn = √β

D

ξ = √β;    ωn = √α


(a) is the correct answer.

Ques 31 GATE 2019

A moving coil instrument having a resistance of 10 , gives a full-scale deflection when the current is 10 mA. What should be the value of the series resistance, so that it can be used as a voltmeter for measuring potential difference up to 100 V?

A

9 Ω

B

99 Ω

C

990 Ω

D

9990 Ω


(d) is the correct answer.

Ques 32 GATE 2019

The enhancement type MOSFET in the circuit below operates according to the square law. μnCox = 100 μA/V2, the threshold voltage (VT) is 500 mV. Ignore channel length modulation. The output voltage Vout is

A

100 mV

B

500 mV

C

600 mV

D

2 V


(c) is the correct answer.

Ques 33 GATE 2019

In the circuit below, the operational amplifier is ideal. If V1 = 10 mV and V2 = 50 mV, the output voltage (Vout) is:

A

100 mV

B

400 mV

C

500 mV

D

600 mV


(b) is the correct answer.

Ques 34 GATE 2019

The output expression for the Karnaugh map shown below is The following table:

A

QR + S

B

QR + S

C

QR+S

D

QR + S


(a) is the correct answer.

Ques 35 GATE 2019

In the circuit shown below, X and Y are digital inputs, and Z is a digital output. The equivalent circuit is a

A

NAND gate

B

NOR gate

C

XOR gate

D

XNOR gate


(d) is the correct answer.

Ques 36 GATE 2019

A DC-DC buck converter operates in continuous conduction mode. It has 48 V input voltage, and it feeds a resistive load of 24 Ω. The switching frequency of the converter is 250 Hz. If switch-on duration is 1 ms, the load power is

A

6 W

B

12 W

C

24 W

D

48 W


(d) is the correct answer.

Ques 37 GATE 2019

The line currents of a three-phase four wire system are square waves with amplitude of 100 A. These three currents are phase shifted by $120^{\circ}$ with respect to each other. The rms value of neutral current is

A

0 A

B

(100\√3)A

C

100 A

D

300 A


(c) is the correct answer.

Ques 38 GATE 2019

If A = 2xi + 3yj + 4zk and u = x2 + y2 + z2, then div(uA) at (1, 1, 1) is


(33 to 33) is the correct answer.

Ques 39 GATE 2019

The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is


(0.26 to 0.36) is the correct answer.

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