A load consists of a parallel connection of R1-L1, R2-L2, and R3-C1 paths as shown below. Assume R1 = 80 ?, R2 = 95 ?, R3 = 75 ?, L1 = 65 mH, L2 = 85 mH, C1 = 250 ?F, |Irms| = 20 A, f = 60 Hz. Find the complex power, average power, reactive power, apparent power, and power factor of each path. Also, find the complex power, average power, reactive power, apparent power, and power factor of the entire load.
ZL1 = j?L1 = j24.5044 ?, ZL2 = j?L2 = j32.0442 ?, ZC1 = 1/(j?C1) = -j10.6103 ?
Z1=R1 + ZL1 = 80 + j24.5044 ?
Z2=R2 + ZL2 = 95 + j32.0442 ?
Z3=R3 + ZC1 = 75 - j10.6103 ?
Za = Z1 || Z2 || Z3 = 28.8682 + j4.1146 ?
|Vrms| = |Za|×|Irms| = 583.1982 V
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