GATE IN 2018 Question Paper (04-Feb-2018) (Shift 2)

An ideal square wave with period of 20 ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accurate description of the output?

A n input 𝑝(𝑡) = sin(𝑡) is applied to the system $G\left(s\right)=\frac{s-1}{s+1}$ .The corresponding steady state output is 𝑦(𝑡) = sin(𝑡 + 𝜑), where the phase 𝜑 (in degrees), when restricted to 0° ≤ 𝜑 ≤ 360°, is ______ .

The approximate phase response of $\frac{{100}^2{e}^{-0.01s}}{s^2+0.2s+{100}^2}$ is

Consider the transfer function $G\left(s\right)=\frac{2}{\left(s+1\right)\left(s+2\right)}$. The phase margin of 𝐺(𝑠) in degrees is ____.

In the given circuit, assume that the opamp is ideal and the transistor has a β of 20. The current I0 (in μA) flowing through the load ZL is ____.