Difference between revisions of "TF EIM Chapt3"

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:<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>
 
:<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>
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If <math>\omega < \omega_0</math> then the phase shift is negative
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If <math>\omega > \omega_0</math> then the phase shift is positive
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[[Forest_Electronic_Instrumentation_and_Measurement]]
 
[[Forest_Electronic_Instrumentation_and_Measurement]]

Revision as of 04:25, 2 February 2011

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

TF EIM RLC Phasor.png


[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