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

Line to Phase Voltage Calculator

Enter one value to calculate the other

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)