TF EIM Chapt3

Phase shift

[math]X_C = \frac{-i}{\omega C} \Rightarrow[/math] Voltage lags current for a capacitor

[math]X_L = i \omega L \Rightarrow[/math] Voltage leads current for Inductor

[math]\tan(\phi) = \frac{X_{out}}{R_L} = \frac{\omega L - \frac{1}{\omega C}}{R}= \frac{\omega^2 - \omega_o^2}{\omega_0^2R}[/math]

If [math]\omega \lt \omega_0[/math] then the phase shift is negative

If [math]\omega \gt \omega_0[/math] then the phase shift is positive

Forest_Electronic_Instrumentation_and_Measurement