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

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