A load consists of a resistors R1 = 55?, R2 = 46?, an inductor with inductance L1 = 115 mH, and a capacitor with capacitance C1 = 95 ?F as shown in Figure (a) below. Find the power factor of the load shown in Figure (a). A capacitor C2 is connected in parallel to the load to raise the power factor to 0.999 as shown in Figure (b). Find the capacitance value C2. f = 60 Hz.
ZL1 = j?L1 = j43.354 ?, ZC1 = 1/(j?C1) = -j27.9219 ?
ZLoad = (R1 + ZC1) || (R2 + ZL1) = 37.81624 + j5.113644 = 38.1604?7.701o ?
Req = 37.81624 ?, XLoad = 5.113644 ?, Leq = XLoad/? = 13.5644 mH
pf1 = Re(ZLoad)/|ZLoad| = 0.991, pf2 = 0.999
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