Practical Electronics/Standing Wave Oscillator

With an LC series when $Z_L-Z_C=0V_C+V_L=0$ 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

$f=\frac{1}{2\pi }\sqrt{\frac{1}{LC}}$