GATE Electrical Engineering Test 2 Online Question Answers

1. Choose the most appropriate alternative from the options given below to complete the following sentence: If the tried soldier wanted to lie down, he …………. the mattress out on the balcony.

2. The voltage gain A_v of the circuit shown below is

(a) |A_v| ≈ 200

(b) |A_v| ≈ 100

(c) |A_v| ≈ 20

(d) |A_v| ≈ 10

3. There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is

4. With 10V dc connected at port A in the linear non-reciprocal two-port network shown below, the following were observed:

(i) 1 Ω connected at port B draws a current of 3A

(ii) 2.5 Ω connected at port B draws a current of 2A

With 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is

5. The figure shows a two-generator system supplying a load of P_D = 40 MW, connected at bus 2

The fuel cost of generators G₁ and G₂ are:

C₁(P_G₁) = 10,000 Rs/MWh and C₂ (P_G₂) = 12, 500 Rs/MWh and the loss in the line is P_loss(pu) = 0.5P²_G₁(pu)’ Where the loss coefficient is specified in pu on a 100 MVA base. The most economic power generation schedule in MW is

6. In the following figure, C₁ and C₂ are ideal capacitors. C₁ has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is

7. In the circuit shown below, the current through the inductor is

8. For the system shown below, S_D₁ and S_D₂ are complex power demands at bus 1 and 2 respectively. If |V₂| = 1 pu, the VAR rating of the capacitor (Q_G₂) connected at bus 2 is

9. One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brustal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one of the following statements best sums up the meaning of the above passage?

10. In the circuit shown, an ideal switch S is operated at 100 kHz with a duty ratio of 50%. Given that ∆i_c 1.6 A peak-to-peak and I₀ is 5A dc, the peak current in S is

11. Two independent random variables X and Y are uniformly distributed in the interval [– 1, 1]. The probability that max [X, Y] is less than ½ is

12. Consider the given circuit

In this circuit, the race around

13. Four the circuit shown in the figure, the voltage and current expressions are v(t) = E₁ sin(ωt) + E₃ sin (3ωt) and i(t) = I₁ sin (ωt – φ₁) + I₃ sin (3ωt – φ₃) + I₅ sin(5ωt).

The average power measured by the Wattmeter is

14. The transfer function of a compensator is given as

G_c(S) = s+a/s+b

G_c(S) is a leade compensator if

15. A 220 V, 15 kW, 1000 rpm shunt motor with armature resistance of 0.25Ω, has a rated line current of 68 A and a rated field current of 2.2 A. the change in field flux required to obtain a speed of 1600 rmp while drawing a line current of 52.8 A and a field current of 1.8 A is

16. The bus admittance matrix of a three-bus three-line system is

If each transmission line between the two buses is represented by an equivalent π-network, the magnitude of the shunt susceptance of the line connecting bus 1 and 2 is

17. In the circuit shown, the three voltmeter readings are V₁ = 220 V, V₂ = 122 V, V₃ = 136 V

The power factor of the load is

18. Which one of the following options is the closest in meaning to the word given below?

19. A cylindrical rotor generator delivers 0.5 pu power in the steady-state to an infinite bus through a transmission line of reactance 0.5 pu. The generator no-load voltage is 1.5 pu and the infinite bus voltage is 1 pu. The inertia constant of the generator is 5 MW₋_s/MV and the generator reactance is 1 pu. The critical clearing angle, in degrees, for a three phase dead short circuit fault at the generator terminal is

20. The impedance looking into nodes 1 and 2 in the given circuit is

21. The average power delivered to an impedance (4 – j3)Ω by a current 5cos (100πt + 100) A is

22. A two phase load draws the following phase currents: i₁(t) = I_m sin (ωt – φ₁), i₂(t) = I_m cos (ωt – φ₂). These currents are lanced if φ₁ is equal to

23. The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. the number of combinations for which the output is logic 1, is

24. Choose the most appropriate word from the option given below to complete the following sentence:

Given the seriousness of the situation that he had to face, his ……… was impressive.

25. A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing angle α and the load current is continuous. The fraction of cycle that the freewheeling diode conducts is

26. The transfer function of a compensator is given as

G_c(S) = s+a/s+b

The phase of the above lead compensator is maximum at

27. In the circuit shown, the three voltmeter readings are V₁ = 220V, V₂ = 122 V, V₃ = 136 V

If RL = 5 Ω, the approximate power consumption in the load is

28. One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one the following is INCORRECT?

I requested that he should be given the driving test today instead of tomorrow.

29. The circuit shown is a

30. The typical ratio of latching current to holding current in a 20A thyristor is

31. With 10V dc connected at port A in the linear non-reciprocal two-port network shown below, the following were observed:

(i) 1 Ω connected at port B draws a current of 3A

(ii) 2.5 Ω connected at port B draws a current of 2A

For the same network, with 6V de connected at port A, 1Ω connected at port B draws 7/3 A. If 8 V dc is connected at port A, the open circuit voltage at port B is

32. A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads

33. The slip of an induction motor normally does not depend on

34. In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is 180°-conduction mode. All the switching devices are ideal

The rms value of load phase voltage is

35. If (1.00) ¹²⁵⁹ = 3.52 and (1.001)²⁰⁶² = 7.85, then (1.001)³³²¹ =

36. If V_A – V_B = 6V, then V_C – V_D is

37. The i-v characteristics of the diode in the circuit given below are

The current in the circuit is

38. A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is:

39. The bridge method commonly used for finding mutual inductance is

40. In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is 180°-conduction mode. All the switching devices are ideal

It the dc bus voltage V_d = 300 V, the power consumed by 3-phase load is