AC Circuits.

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Presentation transcript:

AC Circuits

Resistors behave the same in an AC circuit Vrms=Irms R V R

The voltage across a capacitor lags the current. Vrms = Irms XC Capacitive Reactance XC = 1/(2πfC) (Ω)

What is the rms current in a circuit with a 20microF capacitor connected to a 120V AC source at 60Hz? V=120V F=60Hz C = 20μF

The voltage across an inductor leads the current. Vrms = Irms XL Inductive Reactance XL = 2πfL (Ω)

What is the rms current in a circuit with a 10mH inductor connected to a 120V AC source at 60Hz? V=120V F=60Hz L=10mH

Putting them all together (LRC) V=120V F=60Hz L C R VR=I R VC= I XC VL= I XL Vtot = I Z (Impedance)Z= √R2 + (XC – XL)2

In the LRC circuit below: 1)what is the impedance 2) what is the current? V=120V F=60Hz L=10mH C = 20μF R = 100 Ω

Phase Angle Is the Voltage leading or lagging the current? If XC > XL The voltage is lagging the current If XC < XL The voltage is leading the current Tan φ = (XL – XC) /R V=120V F=60Hz L=10mH C = 20μF R = 100 Ω

Power P = Irms Vrms Cos φ (W) What is the power consumed by this circuit? V=120V F=60Hz L=10mH C = 20μF R = 100 Ω

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