Electrical Engineering Gate 2014 Set-2 Questions with Answer

Ques 14 GATE 2014 SET-2

A single phase, 50 kVA, 1000V/100V two winding transformer is connected as an autotransformer as shown in the figure. The kVA rating of the autotransformer is ________.

(550) is the correct answer.

Ques 15 GATE 2014 SET-2

A three-phase, 4-pole, self excited induction generator is feeding power to a load at a frequency f₁. If the load is partially removed, the frequency becomes f₂. If the speed of the generator is maintained at 1500 rpm in both the cases, then

f₁, f₂ > 50Hz and f₁ > f₂

f₁ < 50Hz and f₂ > 50Hz

f₁, f₂ < 50Hz and f₂ > f₁

f₁ > 50Hz and f₂ < 50Hz

Ques 16 GATE 2014 SET-2

In a constant V/f control of induction motor, the ratio V/f is maintained constant from 0 to base frequency, where V is the voltage applied to the motor at fundamental frequency f. Which of the following statements relating to low frequency operation of the motor is TRUE?

At low frequency, the stator flux increases from its rated value.

At low frequency, the stator flux decreases from its rated value.

At low frequency, the motor saturates.

At low frequency, the stator flux remains unchanged at its rated value.

(b) is the correct answer.

Ques 17 GATE 2014 SET-2

A 250 V dc shunt machine has armature circuit resistance of 0.6 Ω and field circuit resistance of 125 Ω. The machine is connected to 250 V supply mains. The motor is operated as a generator and then as a motor separately. The line current of the machine in both the cases is 50 A. The ratio of the speed as a generator to the speed as a motor is ________.

(1.27) is the correct answer.

Ques 18 GATE 2014 SET-2

A three-phase slip-ring induction motor, provided with a commutator winding, is shown in the figure. The motor rotates in clockwise direction when the rotor windings are closed. If the rotor winding is open circuited and the system is made to run at rotational speed f_r with the help of a prime-mover in anti-clockwise direction, then the frequency of voltage across slip rings is f₁ and frequency of voltage across commutator brushes is f₂. The values of f₁ and f₂ respectively are

f+f_r and f

f-f_r and f

f-f_r and f+f_r

f+f_r and f-f_r

(a) is the correct answer.

Ques 19 GATE 2014 SET-2

The saw-tooth voltage waveform shown in the figure is fed to a moving iron voltmeter. Its reading would be close to ________.

(57.7) is the correct answer.

Ques 20 GATE 2014 SET-2

While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are 100W and 250W. The power factor of the load is ________.

(0.8) is the correct answer.

Ques 21 GATE 2014 SET-2

A parallel plate capacitor consisting of two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates. If the potential difference between one of the plates and the nearest surface of dielectric interface is 2 Volts, then the ratio ε₁:ε₂ is

1:4

2:3

3:2

4:1

Ques 22 GATE 2014 SET-2

The magnitude of magnetic flux density (B) at a point having normal distance d meters from an infinitely extended wire carrying current of I A is (μ₀I)/(2πd) (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of 4A in the +ve x direction. Another infinitely extended wire is laid along the y-axis and is carrying 2A current in the +ve y direction. μ₀ is permeability of free space. Assume î, ĵ, k̂ to be unit vectors along x, y and z axes respectively.

Assuming right handed coordinate system, magnetic field intensity, H at coordinate (2,1,0) will be

(3/2π)k̂ weber/m²

(4/3π)î A/m

(3/2π)k̂ A/m

0 A/m

Ques 23 GATE 2014 SET-2

Which one of the following statements is true for all real symmetric matrices?

All the eigenvalues are real.

All the eigenvalues are positive.

All the eigenvalues are distinct.

Sum of all the eigenvalues is zero.

(a) is the correct answer.

Ques 24 GATE 2014 SET-2

Consider a dice with the property that the probability of a face with n dots showing up is proportional to n. The probability of the face with three dots showing up is ________.

(0.14) is the correct answer.

Ques 25 GATE 2014 SET-2

Minimum of the real valued function f(x) = (x-1)^2/3 occurs at x equal to

-∞

∞

Ques 26 GATE 2014 SET-2

All the values of the multi-valued complex function 1ⁱ, where i=√-1, are

purely imaginary.

real and non-negative.

on the unit circle.

equal in real and imaginary parts.

(b) is the correct answer.

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