The Root Locus MCQ

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• When the number of poles is equal to the number of zeroes, how many branches of root locus tends towards infinity?
  ক

  1

  খ

  2

  গ

  0

  ঘ

  Equal to number of zeroes
• If root loci plots of a particular control system do not intersect the imaginary axis at any point, then the gain margin of the system will be:
  ক

  0

  খ

  0.707

  গ

  1

  ঘ

  Infinite
• The addition of open loop zero pulls the root loci towards:
  ক

  The left and therefore system becomes more stable

  খ

  The right and therefore system becomes unstable

  গ

  Imaginary axis and therefore system becomes marginally stable

  ঘ

  The left and therefore system becomes unstable
• If the gain of the system is reduced to a zero value, the roots of the system in the s-plane,
  ক

  Coincide with zero

  খ

  Move away from zero

  গ

  Move away from poles

  ঘ

  Coincide with the poles
• Which one of the following are correct? The root locus is the path of the roots of the characteristic equation traced out in the s-plane?
  ক

  As the input of the system is changed

  খ

  As the output of the system is changed

  গ

  As a system parameter is changed

  ঘ

  As the sensitivity is changed
• What is the number of the root locus segments which do not terminate on zeroes?
  ক

  The number of poles

  খ

  The number of zeroes

  গ

  The difference between the number of poles and zeroes

  ঘ

  The sum of the number of poles and the number of the zeroes
• The breakaway point calculated mathematically must always lie on the root locus.
  ক

  True

  খ

  False
• Which one of the following is not the property of root loci?
  ক

  The root locus is symmetrical about imaginary axis

  খ

  They start from the open loop poles and terminate at the open loop zeroes

  গ

  The breakaway points are determined from dK/ds = 0

  ঘ

  Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.
• Which one of the following applications software’s is used to obtain an accurate root locus for?
  ক

  LISP

  খ

  MATLAB

  গ

  dBase

  ঘ

  Oracle
• Consider the loop transfer function K(s+6)/(s+3)(s+5) In the root locus diagram the centroid will be located at:
  ক

  -4

  খ

  -1

  গ

  -2

  ঘ

  -3