Electrical Engineering GATE 2014 Set-2 Questions with Answer

Ques 14 Electrical Machines

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 ________.

Ques 15 Electrical Machines

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

Ques 16 Electrical Machines

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?

Ques 17 Electrical Machines

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 ________.

Ques 18 Electrical Machines

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

Ques 19 Electrical Measurements

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

Ques 20 Electrical Measurements

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 ________.

Ques 21 Electromagnetics

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

Ques 22 Electromagnetics

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.

Ques 23 Engineering Mathematics

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

Ques 24 Engineering Mathematics

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 ________.

Ques 25 Engineering Mathematics

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

Ques 26 Engineering Mathematics

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