Gate 2016 EE (Set 1) Q7

7.The phase cross-over frequency of the transfer function $$G(s)= 100/(s+1)^ 3 in rad/s$$ is 

Solution:

Stability condition $$=>\angle G(j\omega)= -180^{0}$$

$$-180= -3tan^(-1)⁡(\omega )$$

$$\omega = tan\left ( 60 \right )= \sqrt{}3$$

Subscribe to Thesis123 YouTube Channel by Clicking ( HERE ) For  FREE Video Courses