A load consists of a series connection of a resistor with resistance R = 65 ?, an inductor with inductance L = 135 mH, and a capacity with capacitance C1 = 120 ?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 0.98 as shown in Figure (b). Find the capacitance value C2. Assume f = 60 Hz.
ZL = j?L = j50.8938 ?, ZC1 = 1/(j?C1) = -j22.1049 ?
ZLoad = R + ZL + ZC1 = 65 + j28.7889 = 71.0901?23.8889o ?
Req = 65 ?, XLoad = 28.7889 ?, Leq = XLoad/? = 76.3651 mH
pf1 = Re(ZLoad)/|ZLoad| = 65/71.0901 = 0.9143, pf2 = 0.98
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