Question:

The breakaway point of the root locus on the real axis for a closed loop system with a loop gain \( G(s) = \frac{K(s+10)}{(s+2)(s+5)} \) is:

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Breakaway points occur between two real poles or zeros where root locus exists.
Updated On: June 02, 2025
  • between -2 and origin
  • between -2 and -5
  • between -10 and \( -\infty \)
  • at \( -\infty \)
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The Correct Option is B

Solution and Explanation

The root locus exists on real axis to the left of odd number of poles and zeros. Poles are at -2 and -5. So, root locus lies between -2 and -5 on the real axis, and the breakaway point lies in this interval.
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