Enter the line voltage (volts) into the calculator to determine the Line to Phase Voltage. 

Line to Phase Voltage Calculator

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Phase → Line

Line to Phase Voltage Formula

The following formula is used to calculate the Line to Phase Voltage. 

Vphase = VL-L / 1.732

Variables:

  • Where Vphase is the Line to Phase Voltage (volts)
  • VL-L is the line voltage (volts) 

To calculate the phase voltage from line to line voltage, divide the line-to-line voltage by 1.732.

Line Voltage to Line-to-Phase Voltage Conversion (Three-Phase, VLN = VLL ÷ √3)
Line Voltage VLL (V) Line-to-Phase Voltage VLN (V)
208120.092
220127.021
230132.794
240138.568
380219.400
400230.947
415239.607
440254.042
460265.589
480277.136
575331.986
600346.420
690398.383
1000577.367
24001385.681
33001905.312
41602401.848
69003983.834
110006351.039
138007967.667
Three-phase relationship: VLN = VLL ÷ √3 (≈ 1.732). Example: 480 VLL → 277.136 V.

How to Calculate Line to Phase Voltage?

The following two example problems outline how to calculate the Line to Phase Voltage.

Example Problem #1:

  1. First, determine the line voltage (volts). In this example, the line voltage (volts) is measured to be 47.
  2. Finally, calculate the Line to Phase Voltage using the formula above: 

Vphase = VL-L / 1.732

Inserting the values from above and solving the equation with the imputed values gives: 

Vphase = 47 / 1.732 = 27.136 (volts)

Example Problem #2: 

Using the same process as example problem 1, we first define the variables outlined by the formula. In this case, the values are:

line voltage (volts) = 69

Entering these values into the formula or calculator above gives us:: 

Vphase = 69 / 1.732 = 39.83 (volts)