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 ResonanceTemplate:Fact

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

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