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SESK: Stuff Everyone Should Know · sesk.info/elec-wye-line-line

In a wye system, line-to-line voltage is how many times line-to-neutral voltage?

Line-to-line equals square root of 3 times line-to-neutral.

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  1. About 1.73 (square root of 3) ✔
  2. Exactly 2
  3. Exactly 1.41

Why: The phases are 120 degrees apart, so two phase voltages subtract to a bigger number than either one. That is why 120 V to neutral becomes 208 V between phases.

Huh, didn't know that: In standard phase sequence, line-to-line voltages lead the line-to-neutral voltages by 30 degrees.

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References

Answer: About 1.73 (square root of 3). The phases are 120 degrees apart, so two phase voltages subtract to a bigger number than either one. That is why 120 V to neutral becomes 208 V between phases.

  1. King Fahd University of Petroleum and Minerals, EE213 Ch. 11 Three-Phase Circuits faculty.kfupm.edu.sa/EE/samir/EE213/EE213_Ch11_ThreePhase.pdf
    The magnitude of the line-to-line voltage is √3 times the magnitude of the line-to-neutral voltage.
    Checked 2026-10-10.

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