In a transfer function, what does a pole represent?

Practice Questions

Q1
In a transfer function, what does a pole represent?
  1. A point of zero output.
  2. A frequency where the system is stable.
  3. A frequency where the system response goes to infinity.
  4. A point of maximum gain.

Questions & Step-by-Step Solutions

In a transfer function, what does a pole represent?
  • Step 1: Understand what a transfer function is. It is a mathematical representation of a system's output in relation to its input.
  • Step 2: Identify what a pole is. A pole is a specific value in the transfer function that makes the denominator equal to zero.
  • Step 3: Recognize the significance of poles. When the denominator is zero, the output can become very large or unbounded.
  • Step 4: Relate poles to system behavior. If a pole is located in the right half of the complex plane, it can indicate instability in the system.
  • Step 5: Conclude that poles are important for understanding how a system responds to different frequencies and whether it will remain stable.
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