The linear model of a phase detector was presented in Problem 6.7. Sketch the root locus as a fu

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Step 1: 
First, we need to recall the linear model of the phase detector presented in Problem 6.

The linear model of a phase detector was presented in Problem 6.7. Sketch the root locus as a function of the gain $K_v=K_a K$. Determine the value of $K_v$ attained if the complex roots have a damping ratio equal to 0.60 [13].