TF EIM Chapt3

Phase shift

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

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

[math]\displaystyle{ \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]\displaystyle{ \omega < \omega_0 }[/math] then the phase shift is negative

If [math]\displaystyle{ \omega > \omega_0 }[/math] then the phase shift is positive

Forest_Electronic_Instrumentation_and_Measurement