Question

P 5.75 Part A Loads A and B are connected in parallel across a 1.kV ms 60-Hz ine, as shown in the figure below (Figure 1). Load A consumes 20 k W with a 90-percent- power factor. Load B has an apparent power of 30 kVA with an 80-percent-lagging power factor Find the power delivered by the source Express your answer to three significant figures and include the appropriate units P,-1 Value Units Figure 1of 1 Submit Request Answer line Part B Find the reactive power delivered by the source. Express your answer to three significant figures and include the appropriate units. I kV rms+ 60 Hz Q Value Units

Answer 1

Real power, P_A = 20 K W Cos phi_A = 90 % lag = 0 . 9 lag phi_A = Cos^- 1 0 . 9 = 25. Sci Reactive power , Q_A = P_A tan Q_A = 20 k tan 25 . 94 = 9.686 K V A R for load B: - Apparent power = 30 K V A V_rms . I_r m s = 30 K V A Cos phi_B = So log = 0.8 lag phi_B = Cos^-1 0 . 8 Phi_B = 36 .86 Real power, P_B = V_rms . I_rms - Cos phi_B = 30 k times 0 . 8 P_B = 24 K W Reactive power, Q_B = V_rms - Cos phi_