GATE 2022 Rapid Revision Quiz 8

The power input to a 3-phase induction motor is 60 kW. Total stator losses are 1000 W, the % efficiency of the motor if it is running at a slip of 4% is. (Assume negligible mechanical losses)

The frequency response of a linear system G(jω) is provided in the tabular form below

The gain margin and phase margin of the system are

An alternator of E = 1.2 pu and Xg = 0.5 pu is connected to an infinite bus (V = I_pu). Power delivered by the alternator to the infinite bus is 1.0 pu. Now the steam input to the alternator is suddenly raised to 1.5 pu and remains stable. Torque angle change is _______degree.

If x(t) = tⁿu(t), then the Laplace transform of x(t) is:

Consider Fourier transform pair as , where P and Q are function of a. The value of is:

The nature of this circuit is:

In the given circuit, for maximum power to be delivered to R_L, its value should be __________ Ω. (Round off to 2 decimal places.)