Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2018 Questions with Answer

Ques 14 GATE 2018

Consider a system governed by the following equations:

The initial conditions are such that x1(0) < x2(0) < ∞. Let f1 = limt → ∞ x1(t) and f2 = limt → ∞ x2(t). Which one of the following is true?

A

f1 < f2 < x2 < ∞

B

f2 < f1 < x1 < ∞

C

f1 = f2 < x2 < ∞

D

f1 = f2 = x2 = ∞


(c) is the correct answer.

Ques 15 GATE 2018

The number of roots of the polynomial, s7 + s6 + 7s5 + 14s4 + 31s3 + 73s2 + 25s + 200, in the open left half of the complex plane is

A

3

B

4

C

5

D

6


(a) is the correct answer.

Ques 16 GATE 2018

The unit step response y(t) of a unity feedback system with open loop transfer function G(s)H(s) = K/(s+1)2(s+2) is shown in the figure. The value of K is _______ (up to 2 decimal places).


(8.00) is the correct answer.

Ques 17 Gate 2018

In the logic circuit shown in the figure, Y is given by

gate Electrical 2018 4

A

Y = ABCD

B

Y = (A + B)(C + D)

C

Y = A + B + C + D

D

Y = AB + CD


(d) is the correct answer.

Ques 18 GATE 2018

Which one of the following statements is true about the digital circuit shown in the figure

A

It can be used for dividing the input frequency by 3.

B

It can be used for dividing the input frequency by 5.

C

It can be used for dividing the input frequency by 7.

D

It cannot be reliably used as a frequency divider due to disjoint internal cycles.


(b) is the correct answer.

Ques 19 GATE 2018

Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function F = m0 + m2 + m3 + m5 + m7, where mi denotes the ith minterm. In addition, F has a don’t care for m1. The simplified expression for F is given by

A

AC + BC + AC

B

A + C

C

C + A

D

AC + BC + AC


(b) is the correct answer.

Ques 20 GATE 2018

Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeters reads half of the other (both positive), then the power factor of the load is

A

0.532

B

0.632

C

0.707

D

0.866


(d) is the correct answer.

Ques 21 GATE 2018

The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is

A

11

B

12

C

13

D

14


(b) is the correct answer.

Ques 22 GATE 2018

In the two-port network shown, the h11 parameter h11= V1/I1 where, when V2=0 in ohms is ________ (up to 2 decimal places).


(0.50) is the correct answer.

Ques 23 GATE 2018

A 0-1 Ampere moving iron ammeter has an internal resistance of 50 mΩ and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10 Ampere for all operating frequencies. The time constant in milliseconds and resistance in mΩ of the shunt coil respectively are

A

2, 5.55

B

2, 1

C

2.18, 0.55

D

11.1,2


(a) is the correct answer.

Ques 24 GATE 2018

A DC voltage source is connected to a series L-C circuit by turning on the switch S at time t=0 as shown in the figure. Assume i(0)=0, v(0)=0 Which one of the following circular loci represents the plot of i(t) versus v(t)?

A

B

C

D


(b) is the correct answer.

Ques 25 GATE 2018

The equivalent impedance Zeq for the infinite ladder circuit shown in the figure is

A

j12 Ω

B

–j12 Ω

C

j13 Ω

D

13 Ω


(a) is the correct answer.

Ques 26 GATE 2018

A three-phase load is connected to a three-phase balanced supply as shown in the figure. If Van ∠ 0° = 100 V, Vbn∠ -100° = 120 V and Vcn∠ -240° = 100 V (angles are considered positive in the anti-clockwise direction), the value of R for zero current in the neutral wire is ___________Ω (up to 2 decimal places).


(5.77) is the correct answer.

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