Given the following voltage and current on the load, find the power factor, average power, reactive power, complex power, and apparent power. Also, find the equivalent impedance, equivalent resistance, and equivalent inductance of the load. Draw the phasors for P, Q, and S. The voltage and current are peak values.
v () t = 150cos ( 2 ? 60 t + 120 o ) V , i () t = 10cos ( 2 ? 60 t + 85 o ) A
The difference in phase angle is
? = ?v - ?i = 120o - 85o = 35o
The power factor is given by
pf = cos(?) = cos(35o) = 0.819152
The average power is
Z = V/I = 12.2873 + j8.6036 ?
R = 12.2873 ?
X = 8.6036 ?
L = X/? = X/(2?f) = 22.8219 mH
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