3. Time Response

First-order Response — Quiz

Test your understanding of first-order response with 5 practice questions.

Practice Questions

Question 1

What is the standard transfer function form of a stable first-order system with gain $K$ and time constant $\tau$?

Question 2

For a unit-step input, what percentage of the final value has a first-order system reached at $t=\tau$?

Question 3

At $t=\tau$, what fraction of the initial error remains in a first-order step response?

Question 4

Using the common $2\%$ settling criterion, the settling time of a first-order system is approximately what?

Question 5

What is the overshoot of a stable first-order system to a step input?