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In a Bode plot, what does a slope of -20 dB/decade indicate?

Practice Questions

Q1
In a Bode plot, what does a slope of -20 dB/decade indicate?
  1. A first-order system.
  2. A second-order system.
  3. A stable system.
  4. An unstable system.

Questions & Step-by-Step Solutions

In a Bode plot, what does a slope of -20 dB/decade indicate?
  • Step 1: Understand what a Bode plot is. It is a graph that shows how a system responds to different frequencies.
  • Step 2: Know that the vertical axis of a Bode plot represents gain in decibels (dB).
  • Step 3: Recognize that the horizontal axis represents frequency on a logarithmic scale (decades).
  • Step 4: Learn that a slope of -20 dB/decade means that for every tenfold increase in frequency, the gain decreases by 20 dB.
  • Step 5: Identify that a first-order system is characterized by having one pole, which is a point in the system that affects its response.
  • Step 6: Conclude that a slope of -20 dB/decade indicates the presence of a first-order system with a single pole.
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