Electronics Fundamentals/Electronic Oscillator/Standing Wave Oscillator

Standing Wave Oscillator

Configuration

LC connected in series has the capability to generate Sinusoidal Standing Wave Oscillation at Resonance

Mathematical Analysis

At Resonance

$Z_{L}-Z_{C}=0$

$V_{L}+V_{C}=0$

$Z_{L}-Z_{C}=0$

$Z_{L}=Z_{C}$

$\omega L={\frac {1}{\omega C}}$

$\omega ={\sqrt {\frac {1}{LC}}}$

$V_{L}+V_{C}=0$

$V_{C}=-V_{L}$

Summary

LC series operates in resonance has the capability to generate oscillation of Standing Wave of frequency

$\omega ={\sqrt {\frac {1}{LC}}}$