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GATE 2019: Topper Quiz 7 (App update required to attempt this test)

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Question 1

Find the power observed by the load in kW. Assume RYB phase sequence if the balanced start connected load having an impedance (15+j20)Ω per phase is connected to a three phase440V, 50 Hz supply?

Question 2

If F1(s)= ; and F2(s)= . What is the inverse Laplace transform F(t) of the product of both functions?

Question 3

What is the open loop DC gain of a unity feedback control system having closed loop transfer function is (s + 4)/(s ² + 7s +13) ?

Question 4

For the logic circuit shown in the figure, the output Z equal to

Question 5

In the op-amp circuit shown, the Zener diodes Z1 and Z2 clamp the output voltage Vo to +5 V or -5V. The switch S is initially closed and is opened at time t=0

The time t = t1 (in seconds) at which Vo changes state is ____

Question 6

A single-phase bi-directional voltage source converter (VSC) is shown in the figure below. All devices are ideal. It is used to charge a battery at 400 V with power of 5 kW from a source Vs= 220 V(rms), 50 Hz sinusoidal AC mains at unity p.f. If its AC side interfacing inductor is 5 mH and the switches are operated at 20 kHz, then the phase shift (δ) between AC mains voltage (Vs) and fundamental AC rms VSC voltage, (Vc1) in degree, is________.
 

Question 7

Form the y- bus matrix for the network shown in figure.

Question 8

An alternator has an internal voltage of E1 = 1.8 p.u. and X = 0.8 p.u. is connected to a synchronous motor with internal voltage of E2 = 1.2 p.u. and X = 0.6 p.u. The reactance of the line connecting the alternating to the motor is 0.4 p.u. When the generator supplies 1 p.u. power Calculate the rotor angle (in Degree) difference between two machines –

Question 9

The coils of a wattmeter have resistances 0.01 Ω and 1000 Ω; their inductance may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws 25 A at power factor 0.8. The voltage across the load terminals is 30 V. The percentage error on the wattmeter reading is _________.

Question 10

Consider points P and Q in the x-y plane, with and the line integral along with the semicircle with the line segment PQ as its diameter is ________.
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Jun 15ESE & GATE EE