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Instantly calculate Phase to Phase Voltage online using our free calculator with steps, accurate √3 formula, and quick results for three-phase systems.
If you’ve ever looked at a three-phase power system, you’ve seen terms like line-to-line or phase-to-phase voltage. But what do they really mean? Our Phase To Phase Voltage Calculator makes it easy to find this voltage in seconds. Whether you’re an engineer, technician, or student, this tool helps you calculate accurate results with clear steps and examples.
Phase to phase voltage, also called line-to-line voltage (VLL), is the voltage measured between any two of the three phase wires in a three-phase system.
In a balanced three-phase (wye or star) system:
VLL = √3 × VLN
Here’s what each symbol means:
Symbol | Description |
---|---|
VLL | Line-to-Line Voltage |
VLN | Line-to-Neutral Voltage |
√3 | Square root of 3 (≈ 1.732) |
So, if your line-to-neutral voltage (VLN) is 230 V, your phase-to-phase voltage is:
VLL = 1.732 × 230 = 398.36 V
That’s the value you’ll see on a standard three-phase 400 V system.
The number 1.732 (which is √3) comes from the geometry of three-phase electricity.
In a three-phase system, each phase is separated by 120 degrees. When you calculate the vector difference between two phases (say A and B), you get a multiplication factor of √3.
Think of it like this: if you draw the three phase vectors on a circle, they form an equilateral triangle. The line-to-line voltage is the diagonal across that triangle, which is √3 times longer than the side (the phase voltage).
That’s why we multiply or divide by 1.732 when converting between line and phase voltages.
The formula is very simple and always accurate for balanced systems:
Phase-to-Phase (Line-to-Line) Voltage Formula:
VLL = √3 × VLN
Phase-to-Neutral (Line-to-Neutral) Voltage Formula:
VLN = VLL ÷ √3
Example 1:
If VLN = 230 V,
then VLL = 230 × 1.732 = 398.36 V
Example 2:
If VLL = 400 V,
then VLN = 400 ÷ 1.732 = 230.94 V
To measure phase-to-phase voltage safely, follow these steps:
Always follow proper safety rules when dealing with live circuits.
Our Phase To Phase Voltage Calculator makes these calculations effortless. Here’s how you can use it:
For example, if you enter 230 V (Line to Neutral), the calculator will show:
Input (VLN) | Formula | Result (VLL) |
---|---|---|
110 V | 110 × 1.732 | 190.52 V |
120 V | 120 × 1.732 | 207.84 V |
220 V | 220 × 1.732 | 381.04 V |
230 V | 230 × 1.732 | 398.36 V |
240 V | 240 × 1.732 | 415.68 V |
The Phase To Phase Voltage Calculator is your quick, reliable, and easy-to-use tool for three-phase power calculations. You don’t need to memorize formulas or do manual math. Just enter your values and get instant results with detailed steps.
Whether you’re testing a 400V system or learning about power distribution, this calculator saves time and ensures accuracy.
Use the formula VLL = √3 × VLN, where √3 = 1.732.
Because the phase angles are 120° apart, the line-to-line voltage equals √3 times the line-to-neutral voltage.
It’s about 398 V, which is usually rounded to 400 V in most countries.
Yes, set your multimeter to AC mode and measure between two phases.
Yes, it’s √3 (1.732) times higher.