Question: In a Bode plot, what does a slope of -20 dB/decade indicate?
Options:
A first-order system.
A second-order system.
A stable system.
An unstable system.
Correct Answer: A first-order system.
Solution:
A slope of -20 dB/decade indicates a first-order system, which has a single pole.
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?
A first-order system.
A second-order system.
A stable system.
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.
Bode Plot Slope Interpretation – A slope of -20 dB/decade in a Bode plot indicates that the system is a first-order system characterized by a single pole.
First-Order System Characteristics – First-order systems have a specific frequency response that can be identified by their slope in a Bode plot.
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