Sinusoidal Sources ■Sinusoidal Sources ·Characterized by frequency(o=2πf,phaseΦ,period T(T=l/fD, and peak amplitude Vp ∀ vo(t)=Vp sin(ot+φ) Is the average value important? VAwe=lT∫vo)dt=l/T∫Vp sin(t)dt=0→Wo,not really.. ·We often use the“Effective Value,”or RMS Vr=V1n∫o2e)dt=√1/n∫Vp2sin2otdt =Vp/V2 →This IS useful. Basic Electronics-Special Lecture for TIPP 2011 images from Wikipedia 4 Gary Drake,Argonne National Lab-Session 2Basic Electronics – Special Lecture for TIPP 2011 4 Gary Drake, Argonne National Lab – Session 2 Sinusoidal Sources • Characterized by frequency f), phase , period (T = 1 / f), and peak amplitude Vp • Is the average value important? • We often use the “Effective Value,” or RMS VEFF = e 1/T f vO2(t) dt = e 1/T f VP2 sin2(t) dt = VP / S 2 Sinusoidal Sources t VAVG = 1/T f vO(t) dt = 1/T f VP sin(t) dt = 0 0 T vO(t) = VP sin(t + ) VP T -VP Images from Wikipedia 0 T 0 T No, not really… 0 T This IS useful…