GATE EE topic:electrical-machines PYQs & Answers — Page 45

Questions 441–450 of 715. Imported answers require independent review unless marked reviewed.

A stable real linear time-invariant system with single pole at

, has a transfer function

with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

Your answerChoose one option.

8.84

11.08

78.13

122.87

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The number of purely real elements in a lower triangular representation of the given

matrix, obtained through the given decomposition is ________.

Your answerChoose one option.

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The figure below shows the per-phase Open Circuit Characteristics (measured in V) and Short Circuit Characteristics (measured in A) of a 14 kVA, 400 V, 50 Hz, 4-pole, 3-phase, delta connected alternator, driven at 1500 rpm. The field current,

is measured in A. Readings taken are marked as respective

coordinates in the figure. Ratio of the unsaturated and saturated synchronous impedances (

) of the alternator is closest to:

Diagram for Electrical Engineering question 43

Your answerChoose one option.

2.100

2.025

2.000

1.000

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Let

and

be unit vectors along x and y directions, respectively. A vector function is given by

The line integral of the above function

along the curve

, which follows the parabola

as shown below is ______ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 44

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A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at

, and the capacitor voltage is found to cross 0 V at

, where

is the circuit time constant. The absolute value of percentage change required in the initial capacitor voltage if the zero crossing has to happen at

is ______ (rounded off to 2 decimal places).

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A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is supplying 100 A current to a 0.9 lagging power factor load. An ideal reactor is now connected in parallel with the load, as a result of which the total lagging reactive power requirement of the load is twice the previous value while the real power remains unchanged. The armature current is now ______ A (rounded off to 2 decimal places).

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Bus 1 with voltage magnitude

pu is sending reactive power

towards bus 2 with voltage magnitude

pu through a lossless transmission line of reactance

. Keeping the voltage at bus 2 fixed at 1 pu, magnitude of voltage at bus 1 is changed, so that the reactive power

sent from bus 1 is increased by 20%. Real power flow through the line under both the conditions is zero. The new value of the voltage magnitude,

, in pu (rounded off to 2 decimal places), at bus 1 is ______.

Diagram for Electrical Engineering question 47

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Windings ‘A’, ‘B’ and ‘C’ have 20 turns each and are wound on the same iron core as shown, along with winding ‘X’ which has 2 turns. The figure shows the sense (clockwise/anti-clockwise) of each of the windings only and does not reflect the exact number of turns. If windings ‘A’, ‘B’ and ‘C’ are supplied with balanced 3-phase voltages at 50 Hz and there is no core saturation, the no-load RMS voltage (in V, rounded off to 2 decimal places) across winding ‘X’ is ______.

Diagram for Electrical Engineering question 48

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A cylindrical rotor synchronous generator has steady state synchronous reactance of 0.7 pu and subtransient reactance of 0.2 pu. It is operating at

pu terminal voltage with an internal emf of

pu. Following a three-phase solid short circuit fault at the terminal of the generator, the magnitude of the subtransient internal emf (rounded off to 2 decimal places) is ______ pu.

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In the dc-dc converter circuit shown, switch Q is switched at a frequency of 10 kHz with a duty ratio of 0.6. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in mJ (rounded off to 2 decimal places) at the end of 10 complete switching cycles is ______.

Diagram for Electrical Engineering question 50

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GATE EE topic:electrical-machines PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50