Transcription of Section 8-2 and 8-3: Average and Complex Power
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Section 8-2 and 8-3: Average and Complex Power
Section 8-2 and 8-3: Average and Complex Power Problem Determine the Complex Power , apparent Power , Average Power absorbed, reactive Power , and Power factor (including whether it is leading or lagging) for a load circuit whose voltage and current at its input terminals are given by: (a) v(t) = 100 cos(377t 30 ) V, i(t) = cos(377t 60 ) A. (b) v(t) = 25 cos(2 103 t + 40 ) V, i(t) = cos(2 103 t 10 ) A. (c) Vrms = 110 60 V, Irms = 3 45 A. (d) Vrms = 440 0 V, Irms = 75 A. (e) Vrms = 12 60 V, Irms = 2 30 A. Solution: (a). 100 . Vrms = e j30 V, 2. j60 . Irms = e V. 2. 100 . S = Vrms I rms = e j30 e j60 = 125e j30 (VA). 2 2. S = |S| = 125 VA. Pav = Re[S] = 125 cos 30 = W. Q = Im[S] = 125 sin 30 = VAR. s = v i = 30 + 60 = 30 (hence pf is lagging).. pf = cos 30 = (b). 25 . Vrms = e j40 V, 2.. Irms = e j10 A, 2.
Do not reproduce or distribute. ©2009 National Technology and Science Press. Problem 8.11 In the circuit of Fig. P8.11, is(t) = 0.2sin105t A, R = 20 Ω, L =0.1 mH, and C =2 µF. Show that the sum of the complex powers for the three passive elements is equal to …
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