Question
Download Solution PDFThe bode plot of the delay transfer function e-3s has the following shape
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The transfer function
When analyzing this in the frequency domain for Bode plots, we substitute
This is a complex exponential which affects only the phase of the frequency response, not the magnitude.
Magnitude:
So the magnitude plot is a horizontal straight line at 0 dB.
Phase:
Phase decreases linearly with frequency. Specifically, for T = 3 seconds:
In degrees:
This is a straight line with a negative slope in the phase plot.
Given:
Transfer function: e-3s (pure delay of 3 seconds)
Conclusion:
- Magnitude plot: Constant at 0 dB (flat line)
- Phase plot: Straight line with a negative slope (due to the increasing delay with frequency)
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