GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

Question : 59 of 65

Marks: +1, -0

The Nyquist plot of the transfer function

G (s) = \;{K}/{\;(s^{2} + 2s + 2) (s + 2) }

Does not encircle the point (–1 + j0) for K = 10 but does encircle the point (-1 + j0) for K = 100 . Then the closed-loop system (having unity gain feedback) is

stable for K = 10 and stable for K = 100
stable for K = 10 and unstable for K = 100
unstable for K = 10 and stable for K = 100
unstable for K = 100 and unstable for K = 100

Validate

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