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The three impedances Z1 = 20∠30⁰Ω, Z2 = 40∠60⁰Ω, Z3 = 10∠-90⁰Ω are delta-connected to a 400V, 3 – Ø system. Find the power in the R phase.

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The three impedances Z1 = 20∠30⁰Ω, Z2 = 40∠60⁰Ω, Z3 = 10∠-90⁰Ω are delta-connected to a 400V, 3 – Ø system. Find the power in the R phase.

(a) 6628

(b) 6728

(c) 6828

(d) 6928

I had been asked this question in examination.

My question is from Three-Phase Unbalanced Circuits in chapter Polyphase Circuits of Network Theory

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The correct answer is (d) 6928

The best I can explain: The term power is defined as the product of square of current and the impedance. So the power in the R phase = 20^2 x 17.32 = 6928W.

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