Which of the following best describes the phase and sinusoidal components in the given control system plot?
Show Hint
- \( \sin \omega_c \), \( \theta \) is \( \omega_p \)
- \( R \text{ is } \omega_p \), \( \theta \text{ is } \omega_c \)
- \( \theta \text{ is } \omega_c \), \( \sin \text{ is } \omega_p \)
- \( R \text{ is } \omega_c \), \( \sin \omega_p \)
The Correct Option is A
Solution and Explanation
The given diagram represents a frequency response plot, likely from Nyquist Stability Criterion or Bode Plot Analysis. 1. Sinusoidal Component \( \sin \omega_c \):
- Indicates the system's response at critical frequency \( \omega_c \).
- This often corresponds to the gain crossover frequency in a Bode plot.
2. Phase Angle \( \theta \) at \( \omega_p \):
- \( \omega_p \) is the phase crossover frequency, where phase margin is measured.
- It is a key factor in stability determination.
Thus, the correct answer is: \[ \sin \omega_c, \quad \theta \text{ is } \omega_p \]
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