Which equation would you use to determine the apparent power in kVA for a given WYE transformer?

The equation for determining the apparent power in kilovolt-amperes (kVA) for a WYE transformer is correctly identified as involving the line current and line voltage in a specific calculation.

In a WYE configuration, the apparent power (S) can be expressed as the product of the current flowing through the transformer and the voltage across it. The key factor that elevates this equation in a three-phase system is the square root of three (1.732), which accounts for the relationship between line and phase quantities in three-phase systems. This factor emerges from the geometry of the sinusoidal waveforms in three-phase power systems, ensuring that the calculation reflects the combined power from all three phases.

Thus, using the formula that includes line current (IL), line voltage (EL), and the multiplier of 1.732 provides a correct method to calculate the total apparent power in kVA for a WYE transformer configuration, effectively incorporating the multiplication of the various components necessary for accurate power measurement in a three-phase system.

This brings clarity to why other options do not apply. For instance, the simpler expression without the square root factor would not yield the correct apparent power for a three-phase setup, while any configurations that incorrectly relate the current and