If the gain of the critically damped system is increased it will behave asSelect one:a. critically dampedb. oscillatoryc. underdampedd. overdamped

If the gain of the critically damped system is increased, it will behave as follows:

1. Determine the current damping ratio of the system. The damping ratio is a measure of how quickly the system returns to equilibrium after being disturbed.

2. If the system is already critically damped (damping ratio = 1), increasing the gain will not change its behavior. The system will continue to be critically damped.

3. If the system is underdamped (damping ratio < 1), increasing the gain will cause it to transition towards being critically damped. The system will become less oscillatory and approach a critically damped response.

4. If the system is overdamped (damping ratio > 1), increasing the gain will also cause it to transition towards being critically damped. The system will become less sluggish and approach a critically damped response.

Therefore, if the gain of the critically damped system is increased, it will behave as either critically damped or transition towards being critically damped, depending on its initial damping ratio.

If the gain of the critically damped system is increased, it will behave as follows:

1. Determine the initial behavior: A critically damped system initially exhibits a response without any oscillations or overshoot.

2. Increase the gain: By increasing the gain, the system's response will become more sensitive to changes in the input signal.

3. Analyze the response: If the gain is increased, the system will still maintain its critically damped behavior. This means that it will continue to respond quickly to changes in the input signal without any oscillations or overshoot.

Therefore, the answer is: a. critically damped.