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6. A regular household system of a sing-phase three wire circuit allows for the operation of both 120 (Vrms) and 240 (Vrms), 60 (Hz) appliances as shown in Figure 6. I₁ 1200°(V) 10 (Lamp 30 (Ω) Kitchen oven 10 (Ω) 1200° (VIE) Refrigerator 15 (MH) Figure 6. Household circuit. a) Calculate the values of I1, 12, and I, as shown in the circuit in Figure 6. b) Calculate the total complex power supplied. c) Calculate the overall power factor of the circuit in Figure 6.

Fig: 1