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# Gate Quiz: Electrical Engineering 11 June 2021

Quiz Electrical Engineering
Exam: GATE
Topic: Miscellaneous
Date: 11/06/2021

Each Question carries 2 Mark
Negative Marking: 1/3
Time: 20 Minutes

Q1. The steady state stability limit of a synchronous machine connected to infinite bus is 2.2 pu. Infinite bus voltage is 1 pu and synchronous machine voltage is 1.1 pu. The transfer reactance between generator and infinite bus is:
(a) j1.0
(b) j0.5
(c) -j1.0
(d) -j0.5

Q2. An alternator having an induced emf of 1.6 pu is connected to an infinite bus of 1.0 pu. If the bus bar has reactance of 0.6 pu and alternator has reactance of 0.2 pu, what is the maximum power that can be transferred?
(a) 2.67 pu
(b) 3.33 pu
(c) 2 pu
(d) 5 pu

Q3. An open loop system represented by the transfer function

(a) Stable and of minimum phase type
(b) Stable and of non-minimum phase type
(c) Unstable and of minimum phase type
(d) Unstable and of non-minimum phase type

Q4. A single-phase, 22 kVA, 2200 V/ 220 V, 50 Hz, distribution transformer is to be connected as an auto-transformer to get an output voltage of 2420 V. Its maximum kVA rating as an autotransformer is
(a) 22
(b) 24.2
(c) 242
(d) 2420

Q5. Determine the rating of a transformer to deliver a 100 W of dc power to a load under full-wave bridge rectifier.
(a) 144.5 VA
(b) 123 VA
(c) 100 VA
(d) 150 VA

Q6. The relation between μ and H for a specimen of iron is as follows-
μ = [0.4/H + 12 × 10^(-4)] Henry / meter
The value of H which produces flux density of 1 Tesla will be-
(a) 250 A/m
(b) 500 A/m
(c) 750 A/m
(d) 103 A/m

Q7. The supply voltage to an induction motor is reduced by 10% By what percentage, approximately, will the maximum torque decrease?
(a) 40
(b) 20
(c) 10
(d) None of the above

Q8. Insulation resistance of a cable of length 20 km is 2 MΩ. What will be the insulation resistance of the same cable but for a length of 200 km?
(a) 2 MΩ
(b) 20 MΩ
(c) 0.2 MΩ
(d) 200 MΩ

Q9. Laplace transform of sin (ωt + α) is
(a) α/(s^2+α^2 )(e^(α/ω s))
(b) ω/(s^2+ω^2 ) (e^(α/ω s))
(c) s/(s^2+α^2 ) exp(s/αω)
(d) ω/(s^2+α^2 ) exp(s/αω)

Q10. The equivalent capacitance between points A and B in the circuit shown in Fig. below is

(a) 3 μ F
(b) 6.2 μ F
(c) 4.18 μ F
(d) 2.18 μ F

SOLUTIONS

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