Enter the line to line voltage and the line to neutral voltage into the calculator to determine the missing variable.

Line To Neutral Voltage Calculator

Enter any 2 values to calculate the missing variable

Line To Neutral Voltage Formula

The following formula is used to calculate the line to neutral voltage for a given line to line voltage. 

V_{LN} = \frac{V_{LL}}{\sqrt{3}}

Variables:

  • VLN is the line to neutral voltage
  • VLL is the line to line voltage
  • √3 is the square root of 3 (approximately 1.732)

To calculate the line to neutral voltage, divide the line to line voltage by the square root of 3.

Line-to-Line (VLL) to Line-to-Neutral (VLN) Conversion Table (Three-phase: VLL = √3 × VLN, √3 ≈ 1.732)
Line-to-Line Voltage (VLL), V Line-to-Neutral Voltage (VLN), V
208120.1
220127.0
230132.9
240138.6
380219.4
400231.1
415239.6
440254.1
460265.8
480277.2
575332.0
600346.5
690398.5
1000577.4
24001385.7
41602401.9
66003810.6
110006351.1
132007621.3
138007967.7
*Three-phase wye systems: VLL = √3 × VLN. Values rounded to one decimal place using √3 ≈ 1.732.

What is Line To Neutral Voltage?

Line to neutral voltage, also known as phase voltage, is the voltage measured between any one of the phase conductors and the neutral conductor in a three-phase system. This voltage is crucial in the design and operation of electrical systems, as it determines the voltage level at which electrical equipment operates. The line to neutral voltage is typically lower than the line to line voltage, which is the voltage measured between any two of the phase conductors. Understanding the relationship between these voltages is essential for ensuring the safe and efficient operation of electrical systems.

How to Calculate Line To Neutral Voltage?

The following steps outline how to calculate the Line To Neutral Voltage.

  1. First, determine the line to line voltage (VLL).
  2. Next, use the formula VLN = VLL / √3.
  3. Finally, calculate the line to neutral voltage.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Line to Line Voltage (VLL) = 400V

√3 = 1.732