# Homework Help: Step response time of control system

1. Aug 5, 2014

### kampftrimker

1. The problem statement, all variables and given/known data
I'm having a slight problem with the question below.

A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant would you be looking?

My question is what is step response time?

2. Relevant equations

3. The attempt at a solution

Is it the time the process reaches its maximum value, if so then would the time constant (of the process) be
t = 12/5 =2.4 s

Thanks
Mick
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Aug 5, 2014

3. Aug 5, 2014

### donpacino

That is the settling time of the step response.

The step response is how a system responds to an instantaneous change in input.

there are a few other attributes of a step response such as rise time and percent overshoot.

4. Aug 5, 2014

### donpacino

I believe your solution is correct

5. Aug 5, 2014

### kampftrimker

Thanks for the replies, they have helped me understand what is going on.

Thanks again

Mick