What is the steady-state response of a first-order system to a step input?
Practice Questions
Q1
What is the steady-state response of a first-order system to a step input?
Exponential decay
Linear growth
Constant value
Oscillatory response
Questions & Step-by-Step Solutions
What is the steady-state response of a first-order system to a step input?
Step 1: Understand what a first-order system is. It is a system that responds to inputs in a predictable way, often described by a simple equation.
Step 2: Know what a step input is. A step input means that the input suddenly changes from one value to another and stays there.
Step 3: Recognize that the steady-state response is what happens after the system has had time to react to the step input.
Step 4: Realize that for a first-order system, after some time, the output will settle at a constant value.
Step 5: This constant value is equal to the final value of the step input. For example, if the step input changes from 0 to 5, the steady-state response will be 5.
