GATE 2022 Rapid Revision Weekly Quiz 5

The residue of (z³ × e^1/z) at z = 0 is

A slip ring induction motor runs at full load of 2% slip on 50 Hz supply. The new slip at full load torque is rotor resistance is doubled.

A boost converter is operated from a source voltage of 100V with a duty ratio of 0.4. The load resistance is 400Ω. The internal resistance of inductor is 0.4Ω, then the average output voltage is

A travelling wave with an incident voltage ‘V’ travel through the overhead line of surge impedance of 400 Ω and enters a cable of surge impedance of 40 Ω. The transmitted voltage at the cable junction is______V.

The three impedance of an AC bridge shown below are;

Z₁ = 80∠80°, Z₂ = 50∠60°,

Z₃ = 80∠60°,

The value of Z₄ for the balanced bridge is

In a three-bus system, self-impedance of Bus 1 is Z₁₁ = j0.1. A shunt capacitance having susceptance of j0.3 is added to Bus-1. What will be the self-admittance of Bus 1?

A CT has iron loss of 0.5W and a magnetizing current of 1.2A at its rated load. If CT is rated at and ratio of resistance to reactance is 4 then the ratio error is

Consider the following circuit

if the maximum phase shift is Փ°, then the value of (180°-Փ°) is__ Degree.

The poles and zeroes of a driving point impedance function, Z(s) are as follows:

i)  Poles 0, - 2                                  ii)   Zeroes -1, -3     

Also given that Z(∞) = 4 then Find the function Z(s)?

A 3-phase squired cage induction motor, with an applied voltage of 50% gives a blocked rotor current of 200% and starting torque of 40% of their corresponding values. If an auto transformer limits the supply current to 180% of motor full load current, the percentage starting torque of full load torque will be:

A series RLC circuit has a resonance frequency of 2kHz and a quality factor Q = 200. If each R, L and C are halved from their original values, the new Q will be