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Calculate line-to-line and phase voltage instantly using our Three Phase Voltage Calculator. Accurate formulas, examples, and step-by-step results.
A three phase voltage calculator helps you quickly find the correct voltage in a three-phase electrical system. It removes confusion and saves time. You don’t need complex formulas or manual math. Just enter the value and get instant results.
We developed this Three Phase Voltage Calculator so users can easily calculate line-to-line voltage, phase voltage, RMS voltage, and peak voltage with full accuracy. It works for students, electricians, engineers, and anyone dealing with three-phase power systems.
Three phase voltage is a type of AC power system used in industries, factories, and commercial buildings. It uses three alternating voltages that are equally spaced by 120 degrees.
Because of this design, three-phase systems deliver power smoothly and efficiently. That is why they are widely used for motors, generators, and power distribution.
Three-phase voltage is calculated based on the relationship between line-to-line voltage and phase (line-to-neutral) voltage. This relationship comes from electrical phase angles.
The key factor used in three-phase calculations is 1.73, which is the square root of 3.
The standard three-phase voltage formulas are:
Line-to-Line Voltage = √3 × Phase Voltage
Phase Voltage = Line-to-Line Voltage ÷ √3
Where √3 = 1.732
For AC waveform conversion:
Peak Voltage = √2 × RMS Voltage
RMS Voltage = Peak Voltage ÷ √2
These formulas are internationally accepted and used in electrical engineering and power systems.
You multiply by 1.73 because the three phases are separated by 120 degrees. This phase difference creates a vector relationship between voltages.
Mathematically, this relationship results in the square root of 3, which equals 1.732. That is why converting between phase voltage and line voltage always involves multiplying or dividing by 1.73.
No, three-phase is not always 400V.
400V is common in many countries for low-voltage industrial systems. However, three-phase systems can also be:
208V
415V
480V
690V
11kV and higher
The voltage depends on the country, application, and power distribution standard.
In a standard 400V three-phase system:
Line-to-Line Voltage = 400V
Phase (Line-to-Neutral) Voltage = 230V
This is calculated as:
Phase Voltage = 400 ÷ 1.732 = 230V
Each leg carries the same voltage but with a different phase angle.
First, select the calculation type.
Choose line-to-line to phase, phase to line-to-line, RMS to peak, or peak to RMS.
Next, enter the voltage value.
Select the unit such as volts, millivolts, kilovolts, or megavolts.
Click the calculate button.
The calculator instantly converts the value using the correct three-phase formula.
You will see the final result along with the formula and step-by-step calculation.
Example 1:
Given line-to-line voltage = 415V
Phase Voltage = 415 ÷ 1.732
Phase Voltage = 239.6V
Example 2:
Given phase voltage = 230V
Line-to-Line Voltage = 230 × 1.732
Line-to-Line Voltage = 398.36V
These results match real-world three-phase power systems.
Our calculator is designed for accuracy and simplicity. It follows electrical standards and works instantly. You don’t need formulas or calculators. Everything is automated and easy to understand.
It is ideal for learning, design, troubleshooting, and daily electrical work.
The Three Phase Voltage Calculator is a reliable and user-friendly tool for accurate voltage calculations. It uses correct electrical formulas, supports multiple units, and shows clear results.
If you work with three-phase power systems, this calculator will save time and prevent mistakes.
You calculate it using the square root of 3. Multiply or divide by 1.732 depending on whether you need line or phase voltage.
Because power delivery is continuous and balanced, reducing losses and improving motor performance.
Yes, but this calculator assumes a balanced three-phase system, which is standard in most applications.
Three-phase voltage is always AC.
It is used in factories, elevators, HVAC systems, data centers, and power plants.