GATE Electrical online test paper 4
by Esha Upadhyay · Published · Updated
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Question 1 of 17
1. Question
A softiron toroid is concentric with a long straight conductor carrying a direct current I. If the relative permeability μr of softiron is 100, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is
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Question 2 of 17
2. Question
In a constant V/f induction motor drive, the slip at the maximum torque
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Question 3 of 17
3. Question
In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration
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Question 4 of 17
4. Question
The magnitude of threephase fault currents at buses A and B of a power system are 10 pu and 8 pu respectively. Neglect all resistances in the system and consider the prefault system to be unloaded.The prefault voltage at all buses in the system is 1.0 pu. The voltage magnitude at bus B during a threephase fault at bus A is 0.8 pu. The voltage magnitude at bus A during a threephase fault at bus B, in pu, is
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Question 5 of 17
5. Question
Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly gridconnected induction generator. Consider capacitive VAr to be a source and inductive VAr to be a sink of reactive power. Which one of the following statements is TRUE?
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Question 6 of 17
6. Question
Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is
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Question 7 of 17
7. Question
Let the eigenvalues of a 2 x 2 matrix A be 1, 2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A2 − 3A + 4l would, respectively, be (A2 is square of A)
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Question 8 of 17
8. Question
Let A be a 4 × 3 real matrix with rank 2. Which one of the following statement is TRUE?
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Question 9 of 17
9. Question
Loop transfer function of a feedback system is G(s)H(s) = [(s+3)/s*s(s3)].Take the Nyquist contour in the clockwise direction.Then the Nyquist plot of G(s)H(s) encircles 1 +j0
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Question 10 of 17
10. Question
Given the following polynomial equation s3+5.5 s2+ 8.5 s + 3 = 0 the number of roots of the polynomial which have real parts strictly less than 1 is (where number after s denotes power like s2 is square of s)
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Question 11 of 17
11. Question
The output of a continuoustime, linear timeinvariant system is denoted by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigensignal of the system T , when T{z(t)} = a y(t), where a is a complex number, in general, and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?
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Question 12 of 17
12. Question
Two electric charges q and −2q are placed at (0,0) and (6,0) on the xy plane. The equation of the zero equipotential curve in the xy plane is
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Question 13 of 17
13. Question
A threephase cable is supplying 800 kW and 600 kVAr to an inductive load. It is intended to supply an additional resistive load of 100 kW through the same cable without increasing the heat dissipation in the cable, by providing a threephase bank of capacitors connected in star across the load. Given the line voltage is 3.3 kV, 50 Hz, the capacitance per phase of the bank, expressed in microfarads, is
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Question 14 of 17
14. Question
A 30 MVA, 3phase, 50 Hz, 13.8 kV, starconnected synchronous generator has positive, negative and zero sequence reactances, 15%, 15% and 5% respectively. A reactance (Xn) is connected between the neutral of the generator and ground. A double line to ground fault takes place involving phases ‘b’ and ‘c’, with a fault impedance of j0.1 p.u. The value of Xn (in p.u.) that will limit the positive sequence generator current to 4270 A is
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Question 15 of 17
15. Question
A singlephase thyristorbridge rectifier is fed from a 230 V, 50 Hz, singlephase AC mains. If it is delivering a constant DC current of 10 A, at firing angle of 30 degree, then value of the power factor at AC mains is
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Question 16 of 17
16. Question
A singlephase 400 V, 50 Hz transformer has an iron loss of 5000 W at the rated condition. When operated at 200 V, 25 Hz, the iron loss is 2000 W. When operated at 416 V, 52 Hz, the value of the hysteresis loss divided by the eddy current loss is
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Question 17 of 17
17. Question
A DC shunt generator delivers 45 A at a terminal voltage of 220 V. The armature and the shunt field resistances are 0.01 Ω and 44 Ω respectively. The stray losses are 375 W. The percentage efficiency of the DC generator is
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