Question

The range of \( K \) for the stability of the system is \( 0<K<100 \). For \( K = 10 \), the gain margin of the system is

• A. 10
• B. 5
• C. 0.1
• D. 0.5

Hint:

Gain margin is the reciprocal of the system gain at the phase crossover frequency.

Answer 1

The Correct Option is C

- The gain margin is defined as the reciprocal of the open-loop gain at the phase crossover frequency. - For \( K = 10 \), the gain margin is calculated as \[ \text{Gain Margin} = \frac{1}{10} = 0.1 \]
Conclusion: The gain margin is given by option (c).