What is the formula used to calculate current from VA in a three-phase system?

In a three-phase system, the relationship between apparent power (measured in volt-amperes, or VA), voltage, and current is crucial for proper system analysis. The formula that relates these quantities utilizes the square root of three (√3), which arises from the three-phase system's configuration.

The correct formula indicates that the current (I) can be calculated by dividing the apparent power (VA) by the product of the line-to-line voltage (V) and the square root of three. This adjustment is necessary because in a three-phase system, the current is distributed across three conductors, leading to a different calculation than in a single-phase system.

In a balanced three-phase circuit, the expression I = VA ÷ (V x √3) reflects the fact that the total power is the sum of the power in each phase, and the √3 factor accounts for the phase angle relationships. This ensures that the calculation correctly represents the equivalent current flowing through the system based on the total apparent power and the voltage applied.

The other options do not correctly represent the relationship in a three-phase system and could result in inaccurate calculations. For instance, using √2 or incorrect multiplicative factors would not account for the unique properties of the three-phase power