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Consider the following statements with reference to the response of a control system: 1. A large resonant peak corresponds to a small overshoot in transient response. 2. A large bandwidth corresponds to slow response. 3. The cut-off rate indicates the ability of the system to distinguish the signal from noise 4. Resonant frequency is indicative of the speed of transient response. Which of the above statements are correct?

Consider the following statements with reference to the response of a control system: 1. A large resonant peak corresponds to a small overshoot in transient response. 2. A large bandwidth corresponds to slow response. 3. The cut-off rate indicates the ability of the system to distinguish the signal from noise 4. Resonant frequency is indicative of the speed of transient response. Which of the above statements are correct? Correct Answer 3 and 4

For a given rise time tr,

tr × B.W = 0.35

⇒ tr = 0.35/B.W

If bandwidth increases, then the rise time decreases and hence response becomes faster.

Resonant frequency indicates the speed of transient response.

A large resonant peak corresponds to a large overshoot in transient response.

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