Enter the line voltage (VL-L) into the calculator to determine the line to ground voltage (VL-G). This calculator helps in converting the line voltage of a three-phase system to the voltage between any one phase and ground.

Line to Ground Voltage Formula

The following formula is used to calculate the line to ground voltage. 

V_{LG}= V_{L-L}</sub> / √3

Variables:

  • VL-G is the line to ground voltage
  • VL-L is the line voltage (voltage between two phases)

To calculate the line to ground voltage, divide the line voltage by the square root of 3.

What is Line to Ground Voltage?

Line to ground voltage is the voltage measured between a single phase of an electrical system and the ground. In a three-phase power system, the line to ground voltage is less than the line voltage (voltage between two phases) by a factor of the square root of 3. This value is important for designing and troubleshooting electrical systems, ensuring compatibility with equipment, and maintaining safety standards.

How to Calculate Line to Ground Voltage?

The following steps outline how to calculate the Line to Ground Voltage.

  1. First, determine the line voltage (VL-L) in volts.
  2. Next, use the formula VL-G = VL-L / √3.
  3. Finally, calculate the Line to Ground Voltage (VL-G).
  4. After inserting the variable and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variable as an example problem to test your knowledge.

line voltage (VL-L) = 400 volts