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GATE EE: 2018 Mini Mock 6
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Question 1
A 3 – phase synchronous generator, with negligible armature resistance, operates at lagging power factor and delivers constant power to an infinite bus. If the excitation is decreased, then (δ = power angle and θ = power factor) –
Question 2
The wiper of a rotational potentiometer can have a maximum angular displacement of 330 °. When an input of 150 V is applied to the potentiometer, the wiper makes an angular displacement of 55 °. Find the output of the potentiometer.
Question 3
Using the Nyquist plot, a control system was found to be stable. If ‘N’ is the number of encirclements anticlockwise that the Nyquist contour makes about the origin , then which of the following condition is true for the above system?
Question 4
An auto-transformer is supplied with a load of 8 kW and 115 Volt at an unity power factor. If the secondary voltage is 345 volt, calculate the power transferred to the inductive load?
Question 5
Given Electric field vector (W/C) Find Potential difference between point A (1, -2, 1) and B( 2, 1, -2)
Question 6
Find the value of C2 to design a second order multiple feedback low pass filter with a cut off frequency of 10 KHz and voltage gain of 20 dB, Quality factor =1 and given that R1= R2 = 1kΩ?
Question 7
For a transfer function G(jω)H(jω), the gain margin is 28 db and the phase margin is 76 °. Find the value of and at the phase cross-over frequency.
Question 8
A moving coil meter with internal resistance 20 Ω have a range of 0 – 5 V. A multiplier resistance of 980 Ω is connected in series with the meter, to extend its range to 0 – 250 V. If a voltage of 110 V is measured with the voltmeter, what is the reading of the voltmeter with 15 °C rise in temperature. The temperature coefficient of copper is 0.004 Ω/Ω- °C and that of manganin is 0.00015 Ω/Ω- °C.
Question 9
Determine the potential at point A (3, 2, 1), if the potential at point B (1, 4, 3) is 12 V in the given electric field, .
Question 10
What is the percentage of the alternator winding is protected if the neutral of 10 MVA, 11 kV alternator is earthed through a resistance of 5 ohms. The fault ready is set to operate at 0.75 A. The current transformers have a ratio of 1000/5?
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