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A balanced delta-connected load of (2+j3) Ω per phase is connected to a balanced three-phase 440V supply. The phase current is 10A. Find the total active power.(a) 7.26W(b) 726W(c) 7260W(d) 72.6WThe question was posed to me in a national level competition.My doubt stems from Voltage, Current and Power in a Delta Connected System in section Polyphase Circuits of Network Theory

Answer»

Right option is (c) 7260W

To EXPLAIN I would say: ZPH = √(2^2+3^2) = 3.6∠56.3⁰Ω. cosφ = RPh/ZPh = 2/3.6 = 0.55. IL = √3× IPH = 17.32A. Active POWER = √3 VLILcosφ = √3×440×17.32×0.55= 7259.78W.



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