What is the phase margin if the gain crossover frequency is at 1 rad/s and the p

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Question: What is the phase margin if the gain crossover frequency is at 1 rad/s and the phase at that frequency is -135 degrees?

Options:

Correct Answer: 45 degrees

Solution:

Phase margin is calculated as 180 degrees + phase at gain crossover frequency. Here, it is 180 - 135 = 45 degrees.

What is the phase margin if the gain crossover frequency is at 1 rad/s and the phase at that frequency is -135 degrees?

What is the phase margin if the gain crossover frequency is at 1 rad/s and the phase at that frequency is -135 degrees?

Step 1: Identify the gain crossover frequency. In this case, it is given as 1 rad/s.
Step 2: Find the phase at the gain crossover frequency. Here, the phase is -135 degrees.
Step 3: Use the formula for phase margin, which is 180 degrees + phase at gain crossover frequency.
Step 4: Substitute the phase value into the formula: Phase Margin = 180 degrees + (-135 degrees).
Step 5: Calculate the result: 180 - 135 = 45 degrees.
Step 6: Conclude that the phase margin is 45 degrees.

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