Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2013 Set-1 Questions with Answer

Ques 40 GATE 2013 SET-1

When the Newton-Raphson method is applied to solve the equation f(x) = x3 + 2x - 1 = 0, the solution at the end of the first iteration with the initial guess value as x0 = 1.2 is

A

−0.82

B

0.49

C

0.705

D

1.69


() is the correct answer.

Ques 41 GATE 2013 SET-1

Statement: You can always give me a ring whenever you need.
Which one of the following is the best inference from the above statement?

A

Because I have a nice caller tune.

B

Because I have a better telephone facility.

C

Because a friend in need is a friend indeed.

D

Because you need not pay towards the telephone bills when you give me a ring.


() is the correct answer.

Ques 42 GATE 2013 SET-1

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.
Which one of the following is the best inference from the above statement?

A

The emergence of nationalism in colonial India led to our Independence.

B

Nationalism in India emerged in the context of colonialism.

C

Nationalism in India is homogeneous.

D

Nationalism in India is heterogeneous.


() is the correct answer.

Ques 43 GATE 2013 SET-1

The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated armature voltage of 150 V. An ideal chopper switching at 5 kHz is used to control the armature voltage. If L<sub>a</sub> = 0.1 mH, R<sub>a</sub> = 1 Ω, neglecting armature reaction, the duty ratio of the chopper to obtain 50% of the rated torque at the rated speed and the rated field current is

A

0.4

B

0.5

C

0.6

D

0.7


() is the correct answer.

Ques 44 GATE 2013 SET-1

A thyristor T in the figure below is initially off and is triggered with a single pulse of width 10 μs. It is given that L = 100μH/π, C = 100μF/π. Assuming latching and holding currents of the thyristor are both zero and the initial charge on C is zero, T conducts for

A

10μs

B

50μs

C

100μs

D

200μs


() is the correct answer.

Ques 45 GATE 2013 SET-1

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal.

The average source current in Amps in steady-state is

A

3/2

B

5/3

C

5/2

D

15/4


() is the correct answer.

Ques 46 GATE 2013 SET-1

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal.

The PEAK-TO-PEAK source current ripple in Amps is

A

0.96 A

B

0.144 A

C

0.192 A

D

0.288 A


() is the correct answer.

Ques 47 GATE 2013 SET-1

The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50 Hz, square-wave ac output voltage (vo) across an R-L load. Reference polarity of vo and reference direction of the output current io are indicated in the figure. It is given that R = 3 Ω, L=9.55 mH.

In the interval when vo < 0 and io> 0 the pair of devices which conducts the load current is

A

Q1, Q2

B

Q3, Q4

C

D1, D2

D

D3, D4


() is the correct answer.

Ques 48 GATE 2013 SET-1

The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50 Hz, square-wave ac output voltage (vo) across an R-L load. Reference polarity of vo and reference direction of the output current io are indicated in the figure. It is given that R = 3 Ω, L=9.55 mH.

Appropriate transition i.e., Zero Voltage Switching (ZVS)/Zero Current Switching (ZCS) of the IGBTs during turn-on/turn-off is

A

ZVS during turn-off

B

ZVS during turn-on

C

ZCS during turn-off

D

ZCS during turn-on


() is the correct answer.

Ques 49 GATE 2013 SET-1

For a power system network with n nodes, Z<sub>33</sub> of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3 ∠-10° per unit. If a capacitor having reactance of -j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is

A

0.325∠−100°

B

0.325∠80°

C

0.371∠−100°

D

0.433∠80°


() is the correct answer.

Ques 50 GATE 2013 SET-1

In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1Ω.

The voltage phase angles in rad at buses 2 and 3 are

A

θ2= −0.1, θ3= −0.2

B

θ2= 0, θ3= −0.1

C

θ2= 0.1, θ3= 0.1

D

θ2= 0.1, θ3= 0.2


() is the correct answer.

Ques 51 GATE 2013 SET-1

In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1Ω.

If the base impedance and the line-to-line base voltage are 100 and 100 kV, respectively, then the real power in MW delivered by the generator connected at the slack bus is

A

−10

B

0

C

10

D

20


() is the correct answer.

Ques 52 GATE 2013 SET-1

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was

A

40

B

43

C

46

D

49


() is the correct answer.

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