Bode plot critical frequency

Can you clarify?In summary, to find the critical frequency for the given equation, you can convert it to s = jω form and factor the denominator to identify any real roots. This will also help in determining the corner frequency for the Bode plot.
  • #1
fractal01
14
1
Given an equation like 2/((jw)^2 +54jw +44), how would you find the critical frequency?

I am getting a umaginary number and I am sure this is not true, please help!
 
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  • #2
fractal01 said:
Given an equation like 2/((jw)^2 +54jw +44), how would you find the critical frequency?

I am getting a umaginary number and I am sure this is not true, please help!

Let s = jω and write your equation using s. You should be able to factor the denominator and hence pick out any critical frequencies (I'm assuming that by 'critical frequency' you also mean 'corner frequency' for the Bode plot). (Also, the roots of the denominator should be real).
 
  • #3
fractal01 said:
Given an equation like 2/((jw)^2 +54jw +44), how would you find the critical frequency?

I am getting a umaginary number and I am sure this is not true, please help!

What equation?
 

What is a Bode plot critical frequency?

A Bode plot critical frequency is a point on a Bode plot where the magnitude or phase of a system's transfer function changes significantly. It is typically denoted as ωc and represents the frequency at which the system's response begins to deviate from its low-frequency behavior.

Why is the Bode plot critical frequency important?

The Bode plot critical frequency is important because it helps to identify the dominant characteristics of a system's response. It can also be used to determine the stability of a system and to design control systems.

How is the Bode plot critical frequency calculated?

The Bode plot critical frequency is typically calculated by finding the intersection of the asymptotes on a Bode plot. It can also be calculated by finding the frequency at which the system's phase shift is equal to -45 degrees.

What is the relationship between the Bode plot critical frequency and the system's bandwidth?

The Bode plot critical frequency is directly related to the system's bandwidth. The bandwidth is defined as the range of frequencies over which the system's response is within a specified tolerance of its peak value. The Bode plot critical frequency is typically used to determine the bandwidth of a system.

How does the Bode plot critical frequency affect the system's stability?

The Bode plot critical frequency can be used to determine the stability of a system. If the critical frequency is located on the left side of the plot, the system is considered stable. If it is located on the right side, the system is considered unstable. Additionally, the distance between the critical frequency and the imaginary axis can indicate the degree of stability of the system.

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