GATE 2022 Rapid Revision Quiz 16

The Laplace transform of x(t) is . If y(t) = x(t – 3) + 4cos (2t – 6) u(t) and Laplace transform of y(t) is _, then what is the value of (a + b + c)?

If x = b (3 – cos θ) and y = b (2sinθ + θ) then  at θ = 30^o is equal to

Determine the potential of node F w.r.t. node G (in Volt) in the following circuit. The given values of resistances are in ohm.

An RLE load is operating from a type A chopper. If the supply voltage of 600 V, L = 0.08 H, E = 120 V and R = 0 Ω. For a duty cycle of 0.3, the chopping frequency to limit the amplitude of load current excursion to 10A is ____________ Hz.

A 6–pole, 200V wave–connected shunt motor has 720 armature conductors and useful flux/pole is 5mWb. The armature and field resistance are 0.5 Ω and 100 Ω respectively. The motor runs at 1000 rpm and the rotational losses are 1000W. The efficiency of the motor is -------% (Answer up to 2 decimal places)

Consider the closed loop system given below becomes marginally stable, what will be the frequency of oscillation in rad/sec? (Round off up to 3 decimal places)

A generator operating at 50 Hz delivering 50% of maximum power to an infinite bus trough a transmission line. Suddenly a short circuit occurs, and power is reduced to zero. The critical clearing angle is _____ degree

Consider a square wave astable multivibrator circuit shown in the figure below.

Then, the value of output frequency of the amplifier circuits is equal to_______.