Resonance Problem

Discussion in 'Homework Help' started by testing12, Oct 2, 2011.

  1. testing12

    testing12 Thread Starter Member

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    Jan 30, 2011
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    A parallel resonant circuit with quality factor 120 has a resonant frequency of 6 ​
    × 10 6 rad/s. Calculate the bandwidth and half-power frequencies.

    I got Bandwidth = 50 000 rad/s
    w1 = 5.975e6 rad/s
    w2 = 6.025e6 rad/s

    Can someone please confirm? It seems for this question the back of my txt provides answers in Farads in Henrys. Its clear there was a typo.

    Thanks for your help.

     
    #1
  2. steveb

    steveb Senior Member

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    That looks correct to high accuracy, although the upper and lower frequencies are not exactly half the bandwidth away from the center frequency in general. However, for high Q systems, the upper and lower frequencies are symmetric about the resonance to very high accuracy.
     
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  3. testing12

    testing12 Thread Starter Member

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    Jan 30, 2011
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    Late, but I forgot to thank you. :)
     
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