Proportional band of the controller is expressed as:ans.PercentageGainRange of control variablesRatio Previous Marked for Review Next

The proportional band of a controller is typically expressed as a percentage. This percentage represents the range of control variables over which the controller operates.

Here's a step-by-step explanation:

1. The proportional band is a key parameter in a proportional controller, which is a type of control algorithm used in control systems.

2. The proportional band is defined as the range of input values over which the controller's output is adjusted proportionally.

3. This range is typically expressed as a percentage of the full range of input values. For example, if the proportional band is 20%, the controller adjusts its output proportionally for the middle 20% of input values, while the output is at its maximum or minimum for the remaining 80% of input values.

4. The proportional band is inversely related to the controller's gain. A smaller proportional band corresponds to a higher gain, meaning the controller responds more aggressively to changes in the input.

5. Therefore, the proportional band can also be thought of as the range of control variables over which the controller operates.

6. In summary, the proportional band of the controller is expressed as a percentage, which represents the range of control variables over which the controller operates.