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#1
10-02-2011, 10:47 PM
 testing12 Member Join Date: Jan 2011 Posts: 80
Resonance Problem

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

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.

#2
10-06-2011, 11:09 PM
 steveb Senior Member Join Date: Jul 2008 Location: New England, USA Posts: 2,431

Quote:
 Originally Posted by testing12 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.
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.
 The Following User Says Thank You to steveb For This Useful Post: testing12 (12-29-2011)
#3
12-29-2011, 10:31 PM
 testing12 Member Join Date: Jan 2011 Posts: 80

Late, but I forgot to thank you.
 The Following User Says Thank You to testing12 For This Useful Post: steveb (12-29-2011)

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