UNIT No. 5-Root Locus Method

If P-Z = 2 then the angle of the asymptotes to root locus are

•  $45\degree$  &  $350\degree$  

•  $135\degree$  &  $225\degree$  

•  $180\degree$  & - $180\degree$  

•  $90\degree$  &  $270\degree$  

A root locus will have the branches terminating to infinity if

• Z <P

• P < Z

• P=Z

• P=0

A branch of root locus always starts from

• The origin

• The Zero

• The pole

• X-Axis

Angle of arrival in root locus if a system has

• All real zeros

• Complex

  conjugate Zeros

• Complex conjugate Poles

• All real poles

Angle condition is used to determine

• The value of K for a point on root locus

• The breakaway points in root locus

• The existence of a point on the root locus

• The centroid of asymptotes of root locus

The root locus in the entirely left half plane represents

• An unstable system

• a marginally stable system

• a stable system

• an oscillatory system

Which of the following is the best method for determining the stability and transient response?

• Root locus

• Bode plot

• Nyquist plot

• None of above

If P= no of poles and Z= no od zeros, then if P>Z, the ‘root locus’ will have following numbers of branches going to infinity,

• P

• Z

• P $+$ Z

• P-Z

‘Angles of departure’ are required to draw the root locus if a system has

• Complex

  conjugate zeros

• All real poles

• Complex conjugate poles

• All real zeros

If entire ‘root locus’ is in the left half plane, then the system is

• Unstable

• Stable

• Stable only for certain range of

  K

• Marginally stable