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

2. 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)

3. 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