What is the transfer function of a first-order system?
Practice Questions
Q1
What is the transfer function of a first-order system?
1/(s + 1)
s/(s + 1)
1/(s^2 + 1)
s^2/(s + 1)
Questions & Step-by-Step Solutions
What is the transfer function of a first-order system?
Step 1: Understand what a transfer function is. It is a mathematical representation that relates the input of a system to its output in the Laplace domain.
Step 2: Identify what a first-order system is. A first-order system has a single energy storage element, like a capacitor or inductor.
Step 3: Recognize that the general form of a first-order transfer function is 1/(s + a), where 'a' is a constant that defines the system's behavior.
Step 4: For a simple first-order system, we often use 'a' as 1, leading to the specific transfer function 1/(s + 1).
Step 5: Note that 's' is a complex frequency variable used in Laplace transforms, and the term 's + 1' indicates a single pole in the system.
