Damping

Resonant circuit damping is parametrized by the quantity $Q$ . The circuit $Q$ is defined as

$$Q=\frac{\omega_0 \textrm{ (energy stored in resonant circuit)}}{(\textrm{time averaged power loss})}$$

in the limit of low damping near resonance we can write down: $Q=\sqrt{L/C}/R$ . In an underdamped circuit, the characteristic impedance of the $LC$ circuit is large compared to the resistance, so that $Q \gg 1$ .