Home Back

Line-To-Line RMS Voltage Calculator

Formula Used:

\[ V_{ll} = 0.8165 \times V_i \]

Volt

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Line-to-Line RMS Voltage?

Line-to-Line RMS Voltage is the root mean square value of the average output voltage between any two lines (phases) in a three-phase system. It represents the effective voltage that would produce the same power dissipation in a resistive load.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{ll} = 0.8165 \times V_i \]

Where:

Explanation: This formula calculates the RMS voltage between two lines in a three-phase system based on the input voltage value.

3. Importance of Line-to-Line RMS Voltage Calculation

Details: Accurate Line-to-Line RMS voltage calculation is crucial for power system analysis, motor control applications, and determining proper equipment ratings in three-phase electrical systems.

4. Using the Calculator

Tips: Enter the input voltage in volts. The value must be valid (voltage > 0).

5. Frequently Asked Questions (FAQ)

Q1: What does RMS voltage represent?
A: RMS (Root Mean Square) voltage represents the equivalent DC voltage that would produce the same power dissipation in a resistive load.

Q2: When is line-to-line voltage used?
A: Line-to-line voltage is used in three-phase power systems to measure the voltage between any two phases of the system.

Q3: What is the relationship between line-to-line and phase voltage?
A: In a balanced three-phase system, line-to-line voltage is √3 times the phase voltage.

Q4: Why is the conversion factor 0.8165?
A: The factor 0.8165 is derived from the mathematical relationship between peak voltage and RMS voltage in specific waveform configurations.

Q5: Can this calculator be used for single-phase systems?
A: This specific formula is designed for three-phase systems. Single-phase systems use different calculations for RMS voltage.

Line-To-Line RMS Voltage Calculator© - All Rights Reserved 2025