# Resonance Circuit

In a lab exercise I am given the circuit below. I am asked to compare my experimental findings with the theoretical values. Although, my book only analyzes the parallel and series RLC Circuits. Therefore I tried to analyze it on my own. This is what I find. Do you think any of this is wrong? The only thing that baffles me is Q, which in resonance its value goes to infinity.

I find that resonance happens when

$ω= \frac{1}{\sqrt{LC}}$

and then I try to study the curve of $I(ω)$

• Input impedance rise to infinity at resonance and if by this you want to define Q as infinity then so be it. – Andy aka Jan 18 '17 at 9:16

At resonance $\omega_0, \ \ X_L(\omega )=|X_c(\omega )|$
and $Q= \frac{R}{X_{ (\ L \ or \ C \ \ \ } \ \ \ )(\omega _o)}$
for $R>{X(\omega _o)_{ (\ L \ or \ C \ \ )} \ \ } \ \ \ \ Q>1$
This would be a notch filter with $Z=∞ \ \ at \ \ \omega _o$ where the reactances are equal but opposite phase so they cancel the current.