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.
​

 

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.

 

Late, but I forgot to thank you.