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the nyquist plot of a loop transfer function g(jwh(jw) of a system encloses the point (-1,j0) point.the gain margin of the system is:

Question

The Nyquist Plot of a Loop Transfer Function

The Nyquist plot of a loop transfer function G(jωH(jω) of a system encloses the point (-1,j0). The gain margin of the system is:

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Solution

To find the gain margin of the system, we need to follow these steps:

Step 1: Determine the open-loop transfer function G(jw) of the system.

Step 2: Plot the Nyquist plot of G(jw) on the complex plane.

Step 3: Locate the point (-1, j0) on the Nyquist plot.

Step 4: Determine the distance from the point (-1, j0) to the origin.

Step 5: The gain margin is equal to the reciprocal of the distance obtained in step 4.

By following these steps, you will be able to find the gain margin of the system.

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