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Control Systems
Root Locus Technique

Practice questions from Root Locus Technique.

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Q#1 Root Locus Technique GATE EC 2025 (Set 1) MCQ +1 mark -0.33 marks

Consider the unity-negative-feedback system shown in Figure (i) below, where gain . The root locus of this system is shown in Figure (ii) below.

For what value(s) of  will the system in Figure (i) have a pole at  ?

For no positive value of K

For all positive of K

Explanation:

From root locus, it is observed that pole  is not lies on the root locus.

Thus, no positive value of  exist for system pole at , as no such pole exist for system at .

Hence, option (c) is only correct answer.