GATE Electrical Engineering Test 3 Online Question Answers
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# GATE Electrical Engineering Test 3 Online Question Answers

 Test Name GATE Electrical Engineering Test Subject GATE Test Type MCQs Total Question 40 Total Marks 80 Total Time 40 Minutes Test Help For M.Tech Admissions Government Jobs Post-Graduate Engineering Admissions Engineering Jobs

GATE exams Electrical Engineering is one of most popular field for students. Interested Candidates who looking at the high level of competition, GATE preparation get online. It is important thus, that you will get the best GATE preparation for 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. We provide GATE Electrical engineering test include all subjects and topics for preparation basis.

## GATE

1. Three friends, R, s and T shared toffee from a bowl. R took 1/3rd of the toffee from a bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?

Question 1 of 40

2. The transistor used in the circuit shown below has a β of 30 and ICBO is negligible

If the forward voltage drop of diode is 0.7 V, then the current through collector will be

Question 2 of 40

3. In the above system, the three-phase fault MVA at the bus 3 is

Question 3 of 40

4. Given two continuous time signals x(t) = et and y(t) = e⁻²t which exist for t > 0, the convolution z(t) = x(t)* y(t) is

(a) e⁻t – e⁻²t

(b) e⁻³

(c) e⁺t

(d) et + e⁻²t

Question 4 of 40

5. The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is

Question 5 of 40

6.

Question 6 of 40

7. For enhancing the power transmission in along EHV transmission line, the most preferred method is to connect a

Question 7 of 40

8. A solar energy installation utilize a three-phase bridge converter to feed energy into power system through into power system through a transformer of 400 V/400 V, as shown below.

The energy is called in a bank of 400 V battery and is connected to converter through a large filter choke of resistance 10Ω.

The maximum current through the battery will be

Question 8 of 40

9. The open loop transfer function G(s) of a unity feedback control system is given G(s) = k(s + 2/3)/s²(s + 2)

From the root locus, it can be inferred that when k tends to positive infinity,

Question 9 of 40

10. An open loop system represented by the transfer function G(s) = (s – 1)/(s + 2)(s + 3) is

Question 10 of 40

11. Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country’s problems had been ___________ by foreign technocrats, so that to invite them to come back would be counter-productive,

Question 11 of 40

12. The r.m.s value of the current i(t) in the circuit shown below is

Question 12 of 40

13. A load center of 120 MW derives power from two power stations connected by 220 kV transmission lines of 25km and 75km as shown in the4 figure below. The three generators G1, G2 and G3 are of 100 MW capacity each and have identical fuel cost schedule for supplying the 120 MW load is

P1 = 80MW + losses

Question 13 of 40

14. The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way. It can be inferred from the passage that horses were

Question 14 of 40

15. With K as a constant, the possible solution for the first order differential equation dy/dx = e⁻³x is

(a) – 1/3 e⁻³x +K

(b) – 1/3 e³x +K

(c) 1/3 e⁻³x +K

(d) – 1/3 ex +K

Question 15 of 40

16. Choose the word from the options given below that is most nearly opposite in meaning to the given word:

Question 16 of 40

17. A lossy capacitor Cx, rated for operation at 5 kV, 50 Hz is represented by an equivalent circuit with an ideal capacitor Cp in parallel with a resistor Rp. The value Cp is found to be 0.102 μF and the value of Rp = 1.25 MΩ. Then the power loss and tan  of the lossy capacitor operating at the rated voltage, respectively, are

Question 17 of 40

18. The bridge circuit shown in the figure below is used for the measurement of an unknown element ZX. The bridge circuit is best suited when ZX is a

Question 18 of 40

19. A negative sequence relay is commonly used to protect

Question 19 of 40

20. An RLC circuit with relevant data is given below.

The power dissipated in the resistor R is

Question 20 of 40

21. The response h(t) of a linear time invariant system to an impulse δ(t), under initially relaxed condition is h(t) = et + e⁻²t. The response of this system for a unit step input u(t) is

(a) u(t) + et + e⁻²t

(b) (et + e⁻²t) u(t)

(c) (1.5 – e⁻t – 0.5e⁻²t) u(t)

(d) e⁻¹ δ(t) + e⁻²t u(t)

Question 21 of 40

22. There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?

Question 22 of 40

23. Consider the following statement

(i) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the current coil.

(ii) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the voltage coil circuit.

Question 23 of 40

24. A capacitor is made with a polymeric dielectric having an ɛr of 2.26 and a dielectric breakdown strength of 50 KV/cm. The permittivity of free space is 8.85 pF/m. If the rectangular plates of the capacitor have a width of 20cm and a length of 40 cm, then the maximum electric charge in the capacitor is

Question 24 of 40

25. The voltage applied to a circuit is 1002 cos (100πt) volts and the circuit draws a current of 102 sin (100πt + π/4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is

Question 25 of 40

26. A three-phase, salient pole synchronous motor is connected to an infinite bus. Ig is operated at no load a normal excitation. The field excitation of the motor is first reduced to zero and then increased in reverse direction gradually. Then the armature current

Question 26 of 40

27. A low-pass filter with a cut-off frequency of 30Hz is cascaded with a high-pass filter with a cut-off frequency of 20Hz. The resultant system of filters will function as

Question 27 of 40

28. The input voltage given to a converter is

vi = 1002 sin (100πt) V

The current drawn by the converter is

ii = 102 sin (100πt – π/3) + 52 sin 300πt + π/4 2sin (500πt – π/6)A

The input power factor of the converter is

Question 28 of 40

29. An RLC circuit with relevant data is given below.

The current Ic in the figure above is

Question 29 of 40

30. Roots of the algebraic equation x³ + x² + x + 1 = 0 are

Question 30 of 40

31. The function f(x) = 2x – x² – x³ + 3 has

Question 31 of 40

32. A voltage commutated chopper circuit, operated at 500 Hz, is shown below.

If the maximum value of load current is 10A, then the maximum current through the main (M) and auxiliary (A) thyristors will be

(a) iM max = 12A and iA max = 10A

(b) iM max = 12A and iA max = 2A

(c) iM max = 10A and iA max = 12A

(d) iM max = 10A and iA max = 8A

Question 32 of 40

33. A three-phase 440V, 6 pole, 50Hz, squirrel cage induction motor is running at a slip of 5%. The speed of stator magnetic field to rotor magnetic field and speed of root with respect to stator magnetic field are

Question 33 of 40

34. Let the Laplace transform of a function F(t) which exists for t > 0 be F(s) and the Laplace transform of its delayed version f(1 – τ) be F(s). Let F*(s) be the complex conjugate of F(s) with the Laplace variable set as s = σ + jw. If G(s) = F₂(s).F₁*(s)/|F₁(s)|² , then the inverse Laplace transform of G(s) is

Question 34 of 40

35. The two vectors [1, 1, 1] and [1, a , a²], where

a = (– 1/2 + j 3/2), are

Question 35 of 40

36. A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is

Question 36 of 40

37. The input voltage given to a converter is

vi = 1002 sin (100πt) V

The current drawn by the converter is

ii = 102 sin (100πt – π/3) + 52 sin 300πt + π/4 2sin (500πt – π/6)A

The active power drawn by the converter is

Question 37 of 40

38. In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of 3Ω is

Question 38 of 40

39. A 220 V, DC shunt motor is operating at a speed of 1440 rmp. The armature resistance is 1.0 Ω and armature current is 10A. of the excitation of the machine is reduced by 10%, the extra resistance to be put in the armature circuit to maintain the same speed and torque will be

Question 39 of 40

40. A 4—point starter is used to start and control the speed of a

Question 40 of 40

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