Question

The Bode diagram stability criterion is applicable when:

• A. gain and phase curves both decrease with frequency
• B. gain curve increases and phase curve decreases with frequency
• C. gain curve decreases and phase curve increases with frequency
• D. gain and phase curves both increase with frequency

Hint:

In Bode stability analysis, gain and phase both typically decrease with increasing frequency.

Answer 1

The Correct Option is A

Step 1: Bode Criterion.
Bode stability analysis assesses stability margins using frequency response. Typically, both gain and phase exhibit a decreasing trend as frequency increases.

Step 2: Option Evaluation.
- (A) Correct: This option accurately describes the expected behavior where both gain and phase decrease with frequency.- (B), (C), (D): These options do not align with the characteristic frequency response patterns essential for Bode stability analysis.

Final Answer: \[\boxed{\text{A) gain and phase curves both decrease with frequency}}\]