Practical Electronics/Standing Wave Oscillator

With an LC series when $$Z_L - Z_C = 0 V_C + V_L = 0$$ circuit is said to be in resonance
 * $$Z_L = Z_C$$
 * $$j \omega L = \frac{1}{j \omega C}$$
 * $$\omega_o = \pm j \sqrt{\frac{1}{L}{C}}$$


 * $$V_C = - V_L$$
 * $$V(\theta) = A \sin (\omega_o t + 2 \pi ) - A \sin (\omega_o t - 2 \pi)$$

Circuit is capable of producing a Standing Wave Oscillation Therefore, LC can be used as Standing Wave Oscillator with fruency of oscillation equals to resonance frequency
 * $$f = \frac{1}{2\pi} \sqrt{\frac{1}{LC}}$$