Which multiplier is used for calculating voltages in a three-phase system?

Which multiplier is used for calculating voltages in a three-phase system?

• A. 1.00
• B. 1.41
• C. 1.73
• D. 2.50

Answer: (C)

In a three-phase system, the correct multiplier used for calculating voltages is 1.73. This value, also expressed as the square root of three (√3), is critical for determining the relationship between line-to-line voltages and line-to-neutral voltages in a three-phase circuit. In a three-phase system, the voltages are typically represented with line-to-line and line-to-neutral configurations. The line-to-line voltage is greater than the line-to-neutral voltage by a factor of √3. When you need to convert the line-to-neutral voltage (the voltage measured across a single phase) to find the line-to-line voltage (the voltage measured across two phases), multiplying by 1.73 provides the correct calculation. For example, if you have a line-to-neutral voltage of 120 volts, the line-to-line voltage would be calculated as 120 volts multiplied by 1.73, resulting in approximately 208 volts. This accurately reflects the voltage difference between two phases in a three-phase system. Therefore, using 1.73 is essential for accurately determining voltages in three-phase applications, making it the correct answer in this context.

In a three-phase system, the correct multiplier used for calculating voltages is 1.73. This value, also expressed as the square root of three (√3), is critical for determining the relationship between line-to-line voltages and line-to-neutral voltages in a three-phase circuit.

In a three-phase system, the voltages are typically represented with line-to-line and line-to-neutral configurations. The line-to-line voltage is greater than the line-to-neutral voltage by a factor of √3. When you need to convert the line-to-neutral voltage (the voltage measured across a single phase) to find the line-to-line voltage (the voltage measured across two phases), multiplying by 1.73 provides the correct calculation.

For example, if you have a line-to-neutral voltage of 120 volts, the line-to-line voltage would be calculated as 120 volts multiplied by 1.73, resulting in approximately 208 volts. This accurately reflects the voltage difference between two phases in a three-phase system.

Therefore, using 1.73 is essential for accurately determining voltages in three-phase applications, making it the correct answer in this context.