Electrical Engineering Gate 2017 Set-2 Questions with Answer

Ques 40 GATE 2017 SET-2


The figure below shows a half-bridge voltage source inverter supplying an RL-load with R=40 Ω and L=(0.3/π)H. The desired fundamental frequency of the load voltage is 50 Hz. The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index, M=0.6. At 50 Hz, the RL-load draws an active power of 1.44 kW. The value of DC source voltage VDC in volts is

A

300√2

B

500

C

500√2

D

1000√2


(c) is the correct answer.

Ques 41 GATE 2017 SET-2


In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places.)


(0.707) is the correct answer.

Ques 42 GATE 2017 SET-2


In the circuit shown all elements are ideal and the switch S is operated at 10 kHz and 60% duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acquires a voltage as shown. The peak current in amperes drawn from the 50 V DC source is ________. (Give the answer up to one decimal place.)


(40) is the correct answer.

Ques 43 GATE 2017 SET-2


A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive DC load. The converter is fed from a 230 V 50 Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the DC side is

A

25

B

50

C

100

D

300


(c) is the correct answer.

Ques 44 GATE 2017 SET-2


In the circuit shown, the diodes are ideal, the inductance is small, and Io≠0. Which one of the following statements is true?

A

D1 conducts for greater than 180° and D2 conducts for greater than 180°

B

D2 conducts for more than 180° and D1 conducts for 180°

C

D1 conducts for 180° and D2 conducts for 180°

D

D1 conducts for more than 180° and D2 conducts for 180°


(a) is the correct answer.

Ques 45 GATE 2017 SET-2


The figure shows the per-phase representation of a phase-shifting transformer connected between buses 1 and 2, where α is a complex number with non-zero real and imaginary parts. For the given circuit, Ybus and Zbus are bus admittance matrix and bus impedance matrix, respectively, each of size 2x2. Which one of the following statements is true?

A

Both Ybus and Zbus are symmetric

B

Ybus is symmetric and Zbus is unsymmetric

C

Ybus is unsymmetric and Zbus is symmetric

D

Both Ybus and Zbus are unsymmetric


(d) is the correct answer.

Ques 46 GATE 2017 SET-2


The nominal-π circuit of a transmission line is shown in the figure.

Impedance Z = 100∠80° Ω and reactance X = 3300 Ω. The magnitude of the characteristic impedance of the transmission line, in Ω, is ________. (Give the answer up to one decimal place.)


(406.2) is the correct answer.

Ques 47 GATE 2017 SET-2


In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is 100x100. If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.


(61) is the correct answer.

Ques 48 GATE 2017 SET-2


The mean square value of the given periodic waveform f(t) is ________.


(6) is the correct answer.

Ques 49 GATE 2017 SET-2


The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is

A

1000 samples/s

B

1500 samples/s

C

2000 samples/s

D

3000 samples/s


(b) is the correct answer.

Ques 50 GATE 2017 SET-2


A cascade system having the impulse responses h1(n) = {1, -1} and h2(n) = {1, 1} is shown in the figure below, where symbol ↑ denotes the time origin.

The input sequence x(n) for which the cascade system produces an output sequence y(n) = {1, 2, 1, -1, -2, -1} is

A

x(n) = {1, 2, 1, 1}

B

x(n) = {1, 1, 2, 2}

C

x(n) = {1, 1, 1, 1}

D

x(n) = {1, 2, 2, 1}


(d) is the correct answer.

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