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Line to Line Voltage Calculator

Calculate Line to Line Voltage instantly with our free online 3-phase voltage calculator. Easy formula, step-by-step results, and accurate conversions.

VL-L = √3 × VPhase
For 3-phase systems equally separated by 120 degrees

If you’ve ever wondered how to find the voltage between two power lines in a 3-phase system, you’re in the right place. Our Line to Line Voltage Calculator makes it super simple. You’ll see step-by-step how to go from phase voltage to line-to-line voltage in seconds.

This calculator helps students, electricians, and engineers quickly find voltage values in a 3-phase power setup. You won’t need long formulas or complex math. Just enter your phase voltage, and it does the rest!

What is Line to Line Voltage?

Line to line voltage is the voltage measured between any two phases in a three-phase system. In simple terms, it shows the electrical potential difference between two power lines.

Imagine a triangle. Each corner is one phase of power: A, B, and C. The voltage between A and B is one line-to-line voltage. The voltage between B and C is another. All three have the same value if the system is balanced.

In 3-phase systems, line-to-line voltage is higher than phase voltage because of how the electrical waves interact.

Line to Line Voltage Formula

The formula is simple:

VL-L = √3 × VPhase

Where:

  • VL-L = Line-to-Line Voltage
  • VPhase = Phase Voltage
  • √3 ≈ 1.732

So, to find the line-to-line voltage, you just multiply the phase voltage by 1.732.

Example:

If the phase voltage is 240V, then:

VL-L = 1.732 × 240 = 415.68 V

That’s the voltage you’d measure between two lines in a standard 3-phase circuit.

How Do You Calculate Line to Line Voltage?

Here’s the step-by-step process you’ll see in the calculator:

  1. Enter the phase voltage (for example, 120V or 240V).
  2. Select the input and output units (Volts, milliVolts, or kiloVolts).
  3. The calculator multiplies your phase voltage by the square root of 3.
  4. The result gives you the line-to-line voltage instantly.

It’s that easy. You’ll also see each step displayed, so you know exactly how the final answer was found.

Line to Line Voltage in 3-Phase Systems

In a 3-phase electrical system, there are three conductors carrying alternating currents. Each current reaches its peak value at a different time 120 degrees apart.

Because of this phase difference, the voltage between two lines (line-to-line) is higher than the voltage between a line and neutral (phase voltage). That’s why industrial and large-scale systems often use line-to-line voltage for more power efficiency.

How to Use the Line to Line Voltage Calculator

Using this calculator is as simple as flipping a switch:

  1. Type your phase voltage value.
  2. Choose your desired input unit and output unit.
  3. Click the Calculate button.
  4. You’ll instantly get your line-to-line voltage along with step-by-step calculations.

You can even switch between volts (V), kilovolts (kV), or millivolts (mV).

Final Verdict

Our Line to Line Voltage Calculator helps you find accurate results fast. It’s built for both students learning electrical basics and professionals who need quick conversions.

The calculator uses the trusted formula:

VL-L = √3 × VPhase

This formula follows the U.S. Department of Energy standards for distribution transformers.

With this tool, you’ll save time, avoid manual math, and get precise values in a click.

FAQs

What’s the difference between phase voltage and line voltage?

Phase voltage is measured between a line and neutral. Line voltage is measured between any two lines in a 3-phase system.

Why is line-to-line voltage higher?

Because the voltage waves are 120 degrees apart, their combined value (line-to-line) becomes 1.732 times the phase voltage.

Can I use this calculator for single-phase systems?

No. This calculator is designed only for three-phase systems.

What are the common line-to-line voltages?

Typical values include 208V, 400V, and 415V in industrial systems.

Does this calculator show steps?

Yes! It explains every step so you can learn while calculating.