Electronics Fundamentals/Electronic Oscillator/Standing Wave Oscillator

Standing Wave Oscillator

 * Standing_Wave.PNG

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