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

Phase To Neutral Voltage Calculator

Enter any 2 values to calculate the missing variable

Phase to Neutral Voltage Formula

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

V_n = V_p / \sqrt{3}

Variables:

  • V_n is the phase to neutral voltage
  • V_p is the phase to phase voltage
  • (sqrt{3}) is approximately 1.732

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

Phase-to-Phase to Phase-to-Neutral Voltage Conversion Table (Three-Phase, √3 ≈ 1.732)
Phase to Phase Voltage (Vpp) Phase to Neutral Voltage (Vpn)
208 V120.095 V
220 V127.019 V
230 V132.793 V
240 V138.566 V
380 V219.397 V
400 V230.944 V
415 V239.604 V
440 V254.038 V
460 V265.586 V
480 V277.133 V
575 V331.982 V
600 V346.416 V
690 V398.378 V
3300 V1905.288 V
4160 V2401.818 V
6600 V3810.576 V
11000 V6350.960 V
12470 V7199.679 V
13800 V7967.568 V
33000 V19052.880 V
*Balanced three-phase systems: Vpn = Vpp ÷ √3. This table uses √3 ≈ 1.732 (calculator default).

What is Phase to Neutral Voltage?

Phase to neutral voltage, also known as line to neutral voltage, is the voltage measured between any one of the phase conductors and the neutral conductor in a three-phase electrical system. This voltage is typically lower than the phase to phase voltage, which is the voltage measured between any two of the phase conductors. The phase to neutral voltage is important in the design and operation of electrical systems, as it determines the voltage levels for single-phase loads connected to the system. Understanding the relationship between phase to phase voltage and phase to neutral voltage is crucial for ensuring the proper functioning and safety of electrical equipment.

How to Calculate Phase to Neutral Voltage?

The following steps outline how to calculate the Phase to Neutral Voltage.

  1. First, determine the phase to phase voltage (V_p).
  2. Next, use the formula V_n = V_p / (sqrt{3}).
  3. Finally, calculate the phase 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.

Phase to phase voltage (V_p) = 400V

Square root of 3 ((sqrt{3})) = 1.732