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GATE Electrical Engineering Test 4 Question Answers Online

Test Name GATE Electrical Engineering Test
Subject GATE
Test Type MCQs
Total Question 40
Total Marks 80
Total Time 40 Minutes
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GATE Electrical Engineering is one of most popular field for all students. Interested persons who looking at the high level of competition, GATE preparation get online. We provide you all the best preparation guide for GATE Electrical Engineering (EE). Electrical engineering basically include of electricity, electronics and magnetism. Practical applicability of power, control, and even microelectronics is involved in this particular field of course. These GATE Electrical engineering test include all subjects and topics for preparation basis.

GATE Electrical Engineering Test 4 Online



1. A single-phase transformer has a turns ratio of 1 : 2 and is connected to a purely resistive load as shown in the figure. The magnetizing current drawn is 1 A, and the secondary current is 1 A. If core losses and leakage reactance’s are neglected, the primary current is


Question 1 of 40

2. The period of the signal x(t) = 8 sin (0.8πt + π/4) is


Question 2 of 40

3. Figure shows a composite switch consisting of power transistor (BJT) in series with a diode. Assuming that the transistor switch and the diode are ideal, the I-V characteristic of the composite switch is


Question 3 of 40

4. Given that the op-amp is ideal, the output voltage V₀ is


Question 4 of 40

5. Given digits 2, 2, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?


Question 5 of 40

6. Which of the following options is the closest in meaning to the word below:


Question 6 of 40

7. At t = 0, the function f(t) = sin t/t has

Question 7 of 40

8. The L–C circuit shown in the figure has an inductance L = 1 mH and a capacitance C = 10 μF.


The initial current through the inductor is zero, while the initial capacitor voltage is 100 V. The switch is closed at t = 0. The current I through the circuit is

Question 8 of 40

9. The power electronic converter shown in the figure has a single-pole double-throw switch. The pole P of the switch is connected alternately to throws A and B. The converter shown is a


Question 9 of 40

10. The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0, the current through the 1 μF capacitor is


Question 10 of 40

11. Consider a three-core, there-phase, 50Hz, 11 kV cable whose conductors are denoted as R. Y and B in the figure. The inter-phase capacitance (C1) between each pair of conductors is 0.2 μF and the capacitance between each line conductor and the sheath is 0.4 μF. The per-phase charging current is


Question 11 of 40

12. 5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

Question 12 of 40

13. Choose the most appropriate word from the options given below to complete the following sentence: If we manage to …………. Our natural resources, we would leave a better planet for our children.


Question 13 of 40

14. A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The stator resistance, rotor resistance referred to the stator, stator leakage reactance, rotor leakage reactance referred to the stator, and the magnetizing reactance are donoted by rs, rr, xs, xr and Xm, respectively. The magnitude of the starting current of the motor is given by


Question 14 of 40

15. The characteristic equation of a closed-loop system is s(s + 1)(s + 3) + k(s + 2) = 0, k > 0. Which of the following statements is true?

Question 15 of 40

16. Consider two buses connected by an impedance of (0 + j5). The bus 1 voltage is 100 30° V, and bus 2 voltage is 100 0° V. The real and reactive power supplied by bus 1, respectively, are


Question 16 of 40

17. A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is maintained at its rated value. The speed of the motor when it delivers a torque of 5 Nm, is 1400 rpm as shown in the figure. The rotational losses and armature reaction are neglected.


For the motor to deliver a torque of 2.5 Nm at 1400 rpm, the armature voltage to be applied is

Question 17 of 40

18. x(t) is a positive rectangular pulse from t = – 1 to t = + 1 with unit height as shown in the figure. The value of –∞ 1 |X(ω)|² dω {where X(ω) is the Fourier transform of x(t)} is


Question 18 of 40

19. The Laplace transform of g(t) is

(a)1/s (e³s – es)

(b) 1/s (e⁻⁵s – e⁻³s)

(c) e⁻³s/s (1 – e⁻³s)

(d) 1/s (e⁵s – e³s)

Question 19 of 40

20. Power is transferred from system A to system B by a HVDC link as shown in the figure. If the voltages VAB and VCD are as indicated in the figure, and I > 0, then


(a) VAB < 0, VCD < 0, VAB > VCD

(b) VAB > 0, VCD > 0, VAB < VCD

(c) VAB > 0, VCD > 0, VAB > VCD

(d) VAB > 0, VCD < 0

Question 20 of 40

21. A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is maintained at its rated value. The speed of the motor when it delivers a torque of 5 Nm, is 1400 rpm as shown in the figure. The rotational losses and armature reaction are neglected.


The armature resistance of the motor is

Question 21 of 40

22. If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then


Question 22 of 40

23. An ammeter has a current range of 0-5 A, and its internal resistance is 0.2Ω. In order to change the range to 0 – 25 A, We need to add a resistance of


Question 23 of 40

24. The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is 0°, the de output voltage of the converter is 300 V. What will be the output voltage for a firing angle of 60°, assuming continuous conduction?


Question 24 of 40

25. Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the impulse response h[n] of the system is


Question 25 of 40

26. Assuming that the diodes in the given circuit are ideal, the voltage V is


Question 26 of 40

27. Hair (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts.

(I) Hari’s age + Gita age > Irfan’s age + Saira’s age

(II) The4 age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.

(III) There are not twins.

In What order were they born (oldest first)?

Question 27 of 40

28. Choose the most appropriate word from the options given below to complete the following sentence: His rather causal remarks on politics …….. his lack of seriousness about the subject.


Question 28 of 40

29. The second harmonic component of the periodic waveform given in the figure has amplitude of


Question 29 of 40

30. A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is

Question 30 of 40

31. Consider a three-phase, 50 Hz, 11 kV distribution system. Each of the conductors is suspended by an insulator string having two identical porcelain insulators. The self-capacitance of the insulator is 5 times the shunt capacitance between the link and the ground, as shown in the figure. The voltage across the two insulators are


Question 31 of 40

32. The transistor circuit shown uses a silicon transistor with VBE = 0.7 V, IC IE and a dc current again of 100. The value of V is


Question 32 of 40

33. g(t) can be expressed as


Question 33 of 40

34. Consider a step voltage wave of magnitude 1pu traveling along a lossless transmission line that terminates in a reactor. The voltage magnitude across the reactor at the instant the traveling wave reaches the rector is



Question 34 of 40

35. A balanced star-connected and purely resistive load is connected at the secondary of a star-delta transformer as shown in the figure. The line-to-line voltage rating of the transformer is 110 V/220 V. Neglecting the non-idealities of the transformer, the impedance ‘Z’ of the equivalent star-connected load, referred to the primary side of the transformer, is


Question 35 of 40

36. For the system 2/(s + 1), the approximate time taken for a step response to reach 98% of its final value is


Question 36 of 40

37. A minimized form of the function F is


Question 37 of 40

38. As shown in the figure, a 1Ω resistance is connected across a source that has a load line v + i = 100. The current through the resistance is


Question 38 of 40

39. Consider a stator winding of an alternator with an internal high-resistance ground fault. The currents under the fault condition are as shown in the figure. The winding is protected using a differential current scheme with current transformers of ratio 400/5 A as shown. The current through the operating coil is


Question 39 of 40

40. A three-phase, 33 kV oil circuit breaker is rated 1200 A, 2000 MVA, 3 s. The symmetrical breaking current is


Question 40 of 40


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