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Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

Mapping of S-plane to Z-plane analytically and verification using simulation

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Q1. The mapping of points from the s-plane to the z-plane is given by the relation:

Explanation

Q2. If the damping ratio value is zero, then the pole location is:

a: Outside of the unit circle in the z-plane Explanation

Explanation

b: Left half of the z-plane Explanation

Explanation

c: On the unit circle Explanation

Explanation

d: Imaginary axis in the z-plane Explanation

Explanation

Q3. What is the behavior of pole, if the natural frequency increased from 0 value with constant damping ratio?

a: Moving away from the imaginary axis in left half of the s-plane Explanation

Explanation

b: Moving away from the imaginary axis in right half of the s-plane Explanation

Explanation

c: Moving towards the imaginary axis in the s-plane Explanation

Explanation

d: Moving towards the real axis in the s-plane Explanation

Explanation

Q4. What is the behavior of pole, if the damping ratio changes from 0 value with constant natural frequency?

a: Moving away from the imaginary axis in the z-plane Explanation

Explanation

b: Moving towards the real axis in the z-plane Explanation

Explanation

c: Moving towards the circumference of the unit circle from inside in the z-plane Explanation

Explanation

d: Moving towards the circumference of the unit circle from outside in the z-plane Explanation

Explanation

Q5. If the damping ratio value is zero with change in natural frequency, then the poles location:

a: Always on the unit cirle in the z-plane Explanation

Explanation

b: Always on the real axis in the z-plane Explanation

Explanation

c: Always on the imaginary axis in the z-plane Explanation

Explanation

d: Moving towards the circumference of the unit circle from outside in the z-plane Explanation

Explanation

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