$$ \large L \frac{d^2 Q}{d t^2} + \frac{1}{C}Q = 0 $$
Time Constant for an L-C Circuit¶
$$ \large \omega_0 \ = \ \frac{1}{\sqrt{LC}} $$Charge of an LC Circuit¶
$$ \large Q(t) \ = \ Q_0 \cos (\omega t + \phi) $$where
- $\omega = \frac{1}{\sqrt{LC}}$
- $\phi$: phase (depends on the initial state of the circuit