Physics — AC Circuits & Resonance
Reactance, impedance and the resonant frequency of an LC circuit.
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V(t) = V_0\sin(\omega t)
X_L = \omega L, \quad X_C = \frac{1}{\omega C}
Z = \sqrt{R^2 + (X_L - X_C)^2}
\omega_0 = \frac{1}{\sqrt{LC}}