Construction Rules Quiz

In the construction rules, what does "m" represent?

• The number of finite zeros

• The number of finite poles

• The number of starting points

• The number of infinite poles

What determines the number of branches in a root locus diagram?

• The sum of finite poles and zeros

• The greater of m (finite zeros) and n (finite poles)

• The difference between finite poles and zeros

• The centroid of asymptotes

What is the formula for calculating the angle of asymptotes (θ) in a root locus diagram?

• θ = (2q+1)π / n+m

• θ = (2q+1)π / n-m

• θ = (2q+1)π / m-n

• θ = (2q+1)π / n*m

When does a point on the real axis lie on the root locus?

• When the number of open-loop poles and zeros to the left of the point is even

• When the number of open-loop poles and zeros to the right of the point is odd

• When the number of open-loop poles and zeros to the right of the point is even

• When the number of open-loop poles and zeros to the left of the point is odd

What is the formula for the Angle of Departure (Øₐ) from a complex pole in the root locus method?

• Øₐ = 90° - (sum of angles of vectors to a complex pole in question from other poles).

• Øₐ = 180° - (sum of angles of vectors to a complex pole in question from other poles - sum of angles of vectors to a complex pole in question from other zeros).

• Øₐ = 360° - (sum of angles of vectors to a complex pole in question from other poles).

• Øₐ = 180° + (sum of angles of vectors to a complex pole in question from other poles).

• The condition for stability in the root locus.

• The condition for finding the location of Break Points.

• The condition for determining the Angle of Departure.

• The condition for identifying poles and zeros.

What is the formula for the angle of arrival (Øa) at which the root locus enters a complex zero?

• Øa = 180° + (sum of angles of vectors to a complex zero from other zeros - sum of angles of vectors to a complex zero from other poles)

• Øa = 180° - (sum of angles of vectors to a complex zero from other zeros - sum of angles of vectors to a complex zero from other poles)

• Øa = 90° - (sum of angles of vectors to a complex zero from other zeros - sum of angles of vectors to a complex zero from other poles)

• Øa = 360° - (sum of angles of vectors to a complex zero from other zeros - sum of angles of vectors to a complex zero from other poles)

What property does the root locus exhibit with respect to the real axis?

• It is asymmetrical about the real axis.

• It is symmetrical about the real axis.

• It is parallel to the real axis.

• It is perpendicular to the real axis.

What is the formula for the open loop gain (k) at any point on the locus?

• k = sum of phasor lengths from the point to open loop poles.

• k = product of phasor lengths from the point to open loop poles.

• k = difference of phasor lengths from the point to open loop poles.

• k = ratio of phasor lengths from the point to open loop poles.

How many branches are there according to the construction rules?

• 2

• 3

• 4

• 5