GATE 2022 Rapid Revision Quiz 12

In a sinusoidal PWM, for a modulation index of 3.4. What is the peak value of fundamental output voltage of a single-phase full bridge VSI with dc source voltage of ?

The polar plot of a system is shown in fig below. What is the type of the system?

A standard second order control system has a transfer function of the form given by G(s) = If the system is initially at rest and is subjected to a unit stop input at t = 0, the second overshoot in the response will occurs at

Which of the following surface have a zero flux crossing? Given a line charge P_L c/m along the y-axis

1. x = 0, 2 < y < 4, –2 < z < 2

2. z = 0, 2 < x < 4, –2 < y < 2

3. y = 8, 5 < x < 6, –3 < z < 5

4. x = 5, –2 < y < 2, –2 < z < 2

For a DC shunt generator at 800 rpm critical field resistance of 200 Ω. Now speed increased by 200 rpm. Change in critical field resistance is

Match the transfer functions of the second-order systems with the nature of the system given below.
Transfer functions Nature of system
P. I. Overdamped
Q. II. Critically damped
R. III. Underdamped

A 3Phase system is supplying a delta connected load with a line current of 15A. If line of phase ‘C’ gets open circuited, then the negative sequence component of line current in phase ‘C’ is (Take current in line ‘a’ as reference).

There are two sequences x[n] and y[n]. Given x[n] = (0.4)ⁿ u(n) and y[n] = x[n] * x[n]. Then the value of  is