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If the gain of the critical damped system is increased it will behave as
- a)Oscillatory
- b)Critically damped
- c)Overdamped
- d)Underdamped
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the gain of the critical damped system is increased it will behave ...
Answer: a
Explanation: On increasing the gain damping will automatically get reduced and hence the oscillations in the system increases.
Explanation: On increasing the gain damping will automatically get reduced and hence the oscillations in the system increases.
Most Upvoted Answer
If the gain of the critical damped system is increased it will behave ...
Explanation:
Critical Damped System:
A critically damped system is a type of dynamic system that returns to its equilibrium state as quickly as possible without oscillating. It is the border between overdamped and underdamped systems.
Effect of Increasing Gain:
When the gain of a critical damped system is increased, it will start to behave as an oscillatory system. This means that the system will no longer return to its equilibrium state without oscillating. The increased gain will introduce instability in the system, causing it to exhibit oscillatory behavior.
Reasoning:
- Increasing the gain in a critical damped system can lead to a decrease in damping, which is necessary for critical damping.
- The increased gain can introduce more energy into the system, causing it to oscillate before reaching the equilibrium state.
- The system will no longer have the quick return to equilibrium characteristic of a critically damped system.
Conclusion:
In conclusion, increasing the gain of a critical damped system will cause it to behave as an oscillatory system rather than a critically damped one. This change in behavior is due to the decrease in damping resulting from the increased gain.
Critical Damped System:
A critically damped system is a type of dynamic system that returns to its equilibrium state as quickly as possible without oscillating. It is the border between overdamped and underdamped systems.
Effect of Increasing Gain:
When the gain of a critical damped system is increased, it will start to behave as an oscillatory system. This means that the system will no longer return to its equilibrium state without oscillating. The increased gain will introduce instability in the system, causing it to exhibit oscillatory behavior.
Reasoning:
- Increasing the gain in a critical damped system can lead to a decrease in damping, which is necessary for critical damping.
- The increased gain can introduce more energy into the system, causing it to oscillate before reaching the equilibrium state.
- The system will no longer have the quick return to equilibrium characteristic of a critically damped system.
Conclusion:
In conclusion, increasing the gain of a critical damped system will cause it to behave as an oscillatory system rather than a critically damped one. This change in behavior is due to the decrease in damping resulting from the increased gain.
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