Transform the wye circuit below to the equivalent delta circuit if the values of R1 = 820Ω, R2 = 330Ω and R3 = 180Ω.Question 2Answera.Ra = 582Ω, Rb = 1447Ω, Rc = 2653Ωcross outb.Ra = 820Ω, Rb = 330Ω, Rc = 180Ωcross outc.Ra = 111Ω, Rb = 111Ω, Rc = 111Ω,cross outd.Ra = 992Ω, Rb = 2466Ω, Rc = 4521Ωcross oute.Ra = 330180Ω, Rb = 330447Ω, Rc = 330820Ω
Question
Transform the wye circuit below to the equivalent delta circuit if the values of R1 = 820Ω, R2 = 330Ω and R3 = 180Ω.Question 2Answera.Ra = 582Ω, Rb = 1447Ω, Rc = 2653Ωcross outb.Ra = 820Ω, Rb = 330Ω, Rc = 180Ωcross outc.Ra = 111Ω, Rb = 111Ω, Rc = 111Ω,cross outd.Ra = 992Ω, Rb = 2466Ω, Rc = 4521Ωcross oute.Ra = 330180Ω, Rb = 330447Ω, Rc = 330820Ω
Solution
To transform a wye circuit to an equivalent delta circuit, we use the following formulas:
Ra = (R1R2 + R2R3 + R1R3) / R1 Rb = (R1R2 + R2R3 + R1R3) / R2 Rc = (R1R2 + R2R3 + R1*R3) / R3
Given that R1 = 820Ω, R2 = 330Ω and R3 = 180Ω, we substitute these values into the formulas:
Ra = (820330 + 330180 + 820180) / 820 = 992Ω Rb = (820330 + 330180 + 820180) / 330 = 2466Ω Rc = (820330 + 330180 + 820*180) / 180 = 4521Ω
So, the equivalent delta circuit values are Ra = 992Ω, Rb = 2466Ω, Rc = 4521Ω. Therefore, the correct answer is option d.
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