Engr 16 Today’s Topics Standard Sinusoidal Format Instantaneous Power

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Presentation transcript:

Engr 16 Today’s Topics Standard Sinusoidal Format Instantaneous Power Engr 16 Lec 6-1 Intro to AC                Engr 16 Today’s Topics Standard Sinusoidal Format Instantaneous Power Average Power RMS Voltages

Engr 16 Lec 6-2 Complex & Phasors Sinusoids Angular frequency w=2pf (rad/sec or /sec) Frequency f = w/2p (Hz) Period T=1/f (sec) Phase Shift q (in degrees or radians) Offset = DC = Average Voff = Vave = 1/T ∫v(t)dt Amplitude (magnitude) Vp = 1.2 Vp-p Peak-to-Peak Vp-p = 2Vp RMS Root Mean Squared Vrms = sqrt(1/T ∫v(t)^2dt)

Engr 16 Lec 6-2 Complex & Phasors Power (Watts) Average Power Pave = 1/T ∫p(t)dt = 1/T ∫v(t)i(t)dt for a resistor… Pave = 1/T ∫v(t)^2/Rdt =1/T ∫v(t)^2dt /R =Vrms^2/R or Irms^2*R or IrmsVrms RMS Shortcuts (no DC Offsets) Sinusoids Vrms = 1/√2 Vp Triangle Vrms = 1/√3 Vp Square Vrms = Vp DC only Vrms = Vp

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