The characteristic equation of a control system is given by s(s+4)(s2+2s+s) + k(s+1) = 0. What are the angles of the asymptotes for the root loci? - Automatic Control Systems

Electronics and Communication Engineering (ECE) : Automatic Control Systems - Quiz(MCQ)

The characteristic equation of a control system is given by s(s+4)(s2+2s+s) + k(s+1) = 0. What are the angles of the asymptotes for the root loci?

A)

0Â°, 180Â°, 300Â°

B)

0Â°, 120Â°, 240Â°

C)

60Â°, 180Â°, 300Â°

D)

120Â°, 180Â°, 240Â°

Correct Answer : Option (C) : 60Â°, 180Â°, 300Â°

Explanation : P-Z = 3
Angle of asymptote = (2q+1)180°/P-Z
Hence the angles are 60°, 180°, and 300°.

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