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Three Phase Examples

These worked examples apply the three-phase power formula (P = √3 × V × I × PF) and its variants to find power, current, and apparent power.

  1. Step 1

    A three-phase load draws 10 A at 208 V line voltage with a power factor of 0.9. Find the real power.

    P = √3 × V × I × PF = 1.732 × 208 × 10 × 0.9 ≈ 3242.5 W

  2. Step 2

    A three-phase load is rated at 6000 W, 208 V, with a power factor of 0.9. Find the current.

    I = P ÷ (√3 × V × PF) = 6000 ÷ (1.732 × 208 × 0.9) ≈ 18.5 A

  3. Step 3

    A three-phase circuit carries 10 A at 208 V line voltage. Find the apparent power.

    S = √3 × V × I ÷ 1000 = (1.732 × 208 × 10) ÷ 1000 ≈ 3.6 kVA

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