# Bode Plots for Loop Function

1. The Bode plot for the loop function of a unity feedback system is shown below:

Determine the gain K which must be added to the system so that a phase margin of 45 degrees is achieved. K=3.5 K=1.4 K=0.17 K=0.83

2. The loop function for a unity feedback system is: G(s) = 2K/s(s+1)2.

Let K=1 so that Kv=2. Design a lag network using a Bode diagram so that the phase margin is 45 degrees. The compensator and the frequency c' used in the design are:

1+32.8s

_______

1+67.3s , 2.4rad/sec

1+27.7s

________

1+135.7s , 0.361rad/sec

1+32.8s

________

1+67.3s , 0.411rad/sec

1+23.5s

________

1+107.6s , 0.836rad/sec

3. The figure below represents the response of a circuit. Find the output voltage of the circuit assuming the input voltage Vin = 1.0V at 0.1 radians/second.

-15V 1.8 0.18 1.2 None of the above

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#### Solution Summary

Bode plots for loop functions of a unity feedback system is given. The output voltage of the circuit is determined.