Question

Bode diagram is a plot of (AR is amplitude ratio; $\omega$ is frequency factor and $\phi$ is phase angle):

• A. log AR vs log $\omega$ and $\phi$ vs log $\omega$
• B. log AR vs $\omega$ and log $\phi$ vs log $\omega$
• C. AR vs log $\omega$ and log $\phi$ vs log
• D. AR vs $\omega$ and $\phi$ vs $\omega$

Hint:

Bode plots are essential in control system analysis, as they help visualize how a system responds to different frequencies.

Answer 1

The Correct Option is A

Step 1: Bode Diagram Definition.
A Bode diagram visually depicts a system's frequency response, plotting the amplitude ratio (AR) and phase angle ($\phi$) against frequency ($\omega$).

Step 2: Bode Plot Interpretation.
- (A) log AR versus log $\omega$ and $\phi$ versus log $\omega$: This is the standard Bode plot configuration.
- (B) log AR versus $\omega$ and log $\phi$ versus log $\omega$: Incorrect. Both AR and $\phi$ are plotted against log $\omega$.
- (C) AR versus log $\omega$ and log $\phi$ versus log: Incorrect. $\phi$ must be plotted against log $\omega$.
- (D) AR versus $\omega$ and $\phi$ versus $\omega$: Incorrect. Bode plots use logarithmic scales for frequency.

Step 3: Final Determination.
Option (A) is correct, as it accurately displays the standard Bode diagram with both amplitude and phase plotted against the logarithm of frequency.