In a transfer function, what does a zero represent?
Practice Questions
Q1
In a transfer function, what does a zero represent?
A point where the output is zero for a non-zero input.
A point of instability.
A point where the system is stable.
A point of maximum gain.
Questions & Step-by-Step Solutions
In a transfer function, what does a zero represent?
Step 1: Understand what a transfer function is. It is a mathematical representation that describes the relationship between the input and output of a system.
Step 2: Recognize that a transfer function can be expressed as a ratio of two polynomials: the numerator and the denominator.
Step 3: Identify that the zeros of the transfer function are the values of frequency (or s in the Laplace domain) that make the numerator equal to zero.
Step 4: Realize that when the numerator is zero, the entire transfer function output becomes zero, regardless of the input (as long as the input is not also zero).
Step 5: Conclude that a zero represents a specific frequency where the system's output is completely canceled out.
