I've looked at other posts on RLC circuits at resonance, but I have a slightly different question (please forgive me if this has been answered and I missed the post).
To find the resonant frequency of this circuit, I solve for the transfer function vo(s)/vin(s) (in Laplace domain) and since impedance is real (purely resistive) at resonance, I equate the imaginary terms (substituting j*omega for s) to 0 and solve for w (omega).
My problem arises when I try to determine the Q of this circuit. I solve for Z as seen from vin to vo (ie, R1 + the parallel combination of (1/(s C1) and the series combination of L1+R4+1/(s C2), in Laplace), and then solve for Q by taking the ratio of the reactance to the resistance at resonance. However, I get "0" , which makes sense, I guess, since I solved for the resonant frequency earlier by equating the imaginary part of the transfer function to 0.
Zin is :
I'm stumped -- How can I determine the Q of this network?