GATE Electrical online test paper 2
by Esha Upadhyay · Published · Updated
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Question 1 of 17
1. Question
The locked rotor current in a 3phase, star connected 15 kW, 4pole, 230 V, 50 Hz induction motor at rated conditions is 50 A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a 236 V, 57 Hz supply is
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Question 2 of 17
2. Question
A single phase 10 kVA, 50 Hz transformer with 1 kV primary winding draws 0.5 A and 55 W, at rated voltage and frequency, on no load. A second transformer has a core with all its linear dimensions sqaure root of 2 times the corresponding dimensions of the first transformer. The core material and lamination thickness are the same in both transformers. The primary windings of both the transformers have the same number of turns. If a rated voltage of 2 kV at 50 Hz is applied to the primary of the second transformer, then the no load current and power, respectively, are
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Question 3 of 17
3. Question
The transfer function of a compensator is given as
Gc(s) = (s+a)/(s+b)
Gc(s) is a lead compensator if
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Question 4 of 17
4. Question
The transfer function of a compensator is given as
Gc(s) = (s+a)/(s+b)
The phase of the above lead compensator is maximum at
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Question 5 of 17
5. Question
Given a system of equations:
x+2y+2z = b1
5x+y+3z = b2
Which of the following is true regarding its solutionsCorrect
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Question 6 of 17
6. Question
Let f(x) = x/(e to the power x). The maximum value of the function in the interval (0, ∞) is
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Question 7 of 17
7. Question
Let X(s) = [(3s+5)/(s*s+10s+21)] be the Laplace transform of a signal x(t) then x(0+) is
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Question 8 of 17
8. Question
Let S be the set of points in the complex plane corresponding to the unit circle. (That is,S = {z:z =1}). Consider the function f(z)=zz* where z* denotes the complex conjugate of z. The f(z) maps S to which one of the following in the complex plane
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Question 9 of 17
9. Question
x(t) is nonzero only for Tx
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Question 10 of 17
10. Question
For a periodic square wave, which one of the following statements is TRUE?
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Question 11 of 17
11. Question
An 8pole, 3phase, 50 Hz induction motor is operating at a speed of 700 rpm. The frequency of the rotor current of the motor in Hz is
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Question 12 of 17
12. Question
For a specified input voltage and frequency, if the equivalent radius of the core of a transformer is reduced by half, the factor by which the number of turns in the primary should change to maintain the same no load current is
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Question 13 of 17
13. Question
A star connected 400 V, 50 Hz, 4 pole synchronous machine gave the following open circuit and short circuit test results:
Open circuit test: Voc = 400 V (rms, linetoline) at field current, If = 2.3 A
Short circuit test: Isc = 10 A (rms, phase) at field current,
If = 1.5 A The value of per phase synchronous impedance in Ω at rated voltage isCorrect
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Question 14 of 17
14. Question
The undesirable property of an electrical insulating material is
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Question 15 of 17
15. Question
In the formation of RouthHurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of
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Question 16 of 17
16. Question
Power consumed by a balanced 3phase, 3wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is (where pi is contant 3.14)
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Question 17 of 17
17. Question
In an oscilloscope screen, linear sweep is applied at the
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