If the gain of a critically damped system is increased, it will behave as an overdamped system.
A critically damped system is a system that has a damping ratio of 1. This means that the system will settle to its final value with no overshoot and no oscillations. If the gain of a critically damped system is increased, the damping ratio will increase and the system will become overdamped. An overdamped system is a system that has a damping ratio greater than 1. This means that the system will settle to its final value with no overshoot and no oscillations. However, the system will take longer to settle to its final value than a critically damped system.
The following is a brief explanation of each option:
- Option A: Oscillatory. An oscillatory system is a system that exhibits oscillations around its final value. This is the opposite of a critically damped system, which does not exhibit oscillations.
- Option B: Critically damped. A critically damped system is a system that has a damping ratio of 1. This means that the system will settle to its final value with no overshoot and no oscillations.
- Option C: Overdamped. An overdamped system is a system that has a damping ratio greater than 1. This means that the system will settle to its final value with no overshoot and no oscillations. However, the system will take longer to settle to its final value than a critically damped system.
- Option D: Underdamped. An underdamped system is a system that has a damping ratio less than 1. This means that the system will settle to its final value with overshoot and oscillations.
- Option E: None of the above. This option is not correct.