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If the bandwidth of the system is increased, then
- a)both rise time and damping ratio will decrease
- b)rise time will increase but damping ratio will decrease
- c)rise time will decrease but damping ratio will increase
- d)both rise time and damping ratio will increase.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the bandwidth of the system is increased, thena)both rise time and ...
We know that, 
Thus, if BW is increased, rise time will decrease and the system response will become fast. Due to faster response of system, damping ratio will decrease.
Thus, if BW is increased, rise time will decrease and the system response will become fast. Due to faster response of system, damping ratio will decrease.
Most Upvoted Answer
If the bandwidth of the system is increased, thena)both rise time and ...
Explanation:
Bandwidth is the range of frequencies within which the system can operate. Increasing the bandwidth of the system means that it can operate over a wider range of frequencies. This affects both the rise time and damping ratio of the system.
Effect on Rise Time:
Rise time is the time taken by the system to reach from 10% to 90% of the steady-state value. Increased bandwidth means that the system can respond to faster changes in the input signal. Therefore, the rise time decreases as the system can respond faster to changes in the input signal.
Effect on Damping Ratio:
Damping ratio is a measure of the stability of the system. It is the ratio of the actual damping coefficient to the critical damping coefficient. Increased bandwidth means that the system is capable of responding to higher frequency signals. This can lead to oscillations in the system, which reduces the damping ratio. Therefore, the damping ratio decreases as the bandwidth of the system increases.
Therefore, the correct option is 'A': both the rise time and damping ratio will decrease as the bandwidth of the system is increased.
Conclusion:
Increasing the bandwidth of the system has a significant impact on the performance of the system. It reduces the rise time and damping ratio of the system. Therefore, the designer should carefully consider the bandwidth requirements of the system while designing it to ensure optimal performance.
Bandwidth is the range of frequencies within which the system can operate. Increasing the bandwidth of the system means that it can operate over a wider range of frequencies. This affects both the rise time and damping ratio of the system.
Effect on Rise Time:
Rise time is the time taken by the system to reach from 10% to 90% of the steady-state value. Increased bandwidth means that the system can respond to faster changes in the input signal. Therefore, the rise time decreases as the system can respond faster to changes in the input signal.
Effect on Damping Ratio:
Damping ratio is a measure of the stability of the system. It is the ratio of the actual damping coefficient to the critical damping coefficient. Increased bandwidth means that the system is capable of responding to higher frequency signals. This can lead to oscillations in the system, which reduces the damping ratio. Therefore, the damping ratio decreases as the bandwidth of the system increases.
Therefore, the correct option is 'A': both the rise time and damping ratio will decrease as the bandwidth of the system is increased.
Conclusion:
Increasing the bandwidth of the system has a significant impact on the performance of the system. It reduces the rise time and damping ratio of the system. Therefore, the designer should carefully consider the bandwidth requirements of the system while designing it to ensure optimal performance.
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If the bandwidth of the system is increased, thena)both rise time and damping ratio will decreaseb)rise time will increase but damping ratio will decreasec)rise time will decrease but damping ratio will increased)both rise time and damping ratio will increase.Correct answer is option 'A'. Can you explain this answer?
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