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Homework Help: Bode critical frequency

  1. Mar 7, 2013 #1
    I am given a bode plot and have to label the cutoff frequency on there.
    G(jw)=2/(-w^2 +162jw +320)

    I got this equation where w is the critical frequency:
    70922=81^2 + (170 -(w^2/4))

    I am sure that this is wrong since I get the sqrt of a negative number for w.

    It would be really great if someone could help!
  2. jcsd
  3. Mar 7, 2013 #2


    User Avatar

    Staff: Mentor

    2 is equivalent to (jω)2. So let s = jω and your transfer function becomes:
    $$\frac{2}{s^2 + 162s + 320}$$
    The denominator has a pair of negative valued roots which should correspond to (angular) frequencies of interest.
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