Question

2) Use the circuit to the right. a) (20pts) Find the circuit's total apparent power. a P = 500W Q30OVAR f = 60 Hz V = 120V 20° P = 100W Q=1000VAR P=OW Q = 400VAR b b) (10pts) Is the circuit's power factor leading, lagging, or neither? c) (10pts) What type (R, L, or C) of component should be used to connect to points "a" and "b" for power factor correction (Fp = 1)? d) (20pts) What component value should be used in part c) for power factor correction?

Answer 1

Total Apperant power, S, told Achive power 181 rptat S. P power factor P₂ = 0W Q = 400 VAR 500w Q =-300 VAR lo 100 W Qy - 1000 VAR 2 Total Active power, P = P, + P + P3 = 500+0+100 = 60010 total Reactive power, QT Qyt Qq+Q₃ -300 + 400 + 1000 1100 VAR Sy V (600) + (1100) 1252.99 VA 1253 VA to tal cincuit power farten is lagging Because, tolat Reactive power, Q 1000 VAR i.las It cousuves SO it is positive valu, Reartive power, so it is lagging

© total power factor, cost told Active power total Appercut power P3 Qq 1100 0.545 laga GOO =) Compensated reactive power , Q = -- forgosa] p( tan Qxes cos@old cose New 20.545 ONew = 105 (1) can fold = 60571.545) 56.97550 Dold P = 600W Qcomp 6001 Jan (0) - gan (56.975) 923.03 VAR Capalitan so we requine, reactive power source i.e.) to compensate load power factor and make unity.

O Reactive power, Q=? singo Q : vì sind coso = 1 SOX 5м хи 0 VAR C = ? ya Q = v X2TFC Xc VE 120V F = GONA Group V x20F 923.03 120 X 22 X 60 -3 0.170029 X 10 c 0.17mf