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QUESTION: 1

Which principle specifies the relationship between enclosure of poles & zeros by s-plane contour and the encirclement of origin by q(s) plane contour?

Solution:

Answer: a

Explanation: Argument principle specifies the relationship between enclosure of poles & zeros by s-plane contour and the encirclement of origin by q(s) plane contour.

QUESTION: 2

If a Nyquist plot of G (jω) H (jω) for a closed loop system passes through (-2, j0) point in GH plane, what would be the value of gain margin of the system in dB?

Solution:

Answer: d

Explanation: Gain Margin is calculated by taking inverse of the gain where the Nyquist plot cuts the real axis.

QUESTION: 3

For Nyquist contour, the size of radius is _______

Solution:

Answer: d

Explanation: For Nyquist contour, the size of radius is ∞.

QUESTION: 4

Consider a feedback system with gain margin of about 30. At what point does Nyquist plot crosses negative real axis?

Solution:

Answer: b

Explanation: Gain Margin is always inverse of the point which cuts the Nyquist on the real axis.

QUESTION: 5

According to Nyquist stability criterion, where should be the position of all zeros of q(s) corresponding to s-plane?

Solution:

Answer: a

Explanation: According to Nyquist stability criterion zeroes must lie on the left half on the s plane.

QUESTION: 6

If the system is represented by G(s) H(s) = k (s+7) / s (s +3) (s + 2), what would be its magnitude at ω = ∞?

Solution:

Answer: a

Explanation: On calculating the magnitude of the system and putting the value of frequency one gets the magnitude as 0.

QUESTION: 7

Consider the system represented by the equation given below. What would be the total phase value at ω = 0?

200/[s3 (s + 3) (s + 6) (s + 10)].

Solution:

Answer: c

Explanation: The phase can be calculated by the basic formula for calculating phase angle

QUESTION: 8

Due to an addition of pole at origin, the polar plot gets shifted by ___ at ω = 0 ?

Solution:

Answer: c

Explanation: Addition of pole causes instability to the system.

QUESTION: 9

In polar plots, if a pole is added at the origin, what would be the value of the magnitude at Ω = 0?

Solution:

Answer: b

Explanation: Addition of pole causes instability to the system.

QUESTION: 10

In polar plots, what does each and every point represent w.r.t magnitude and angle?

Solution:

Answer: c

Explanation: Each and every point on the polar plot is the phasor where value of frequency varies.

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