When a 120/240-volt 3Ø, 4-W supply system delivers power, what equals the line current?

In a three-phase power system, the relationship between line current and coil current, as well as the way they are calculated, is critical for understanding how the system operates. The answer that states the line current equals the coil current multiplied by 1.732 is correct because it incorporates the factor related to the conversion between line current and phase current in a three-phase system.

Specifically, in a balanced three-phase system, the line current (the current flowing in the conductors) can be calculated based on the phase current (the current flowing through each individual coil of a load). The factor of 1.732 arises from the square root of 3, which is essential when converting between line and phase values because, in three-phase systems, the relationship between line and phase currents is derived from both the way power is distributed and the geometric properties of the three-phase system.

The other options do not accurately represent how line current is calculated in a three-phase system. For instance, while total line voltage represents the voltage across the lines, it does not translate directly to the line current without considering the power factor and other parameters. Similarly, expressing current in terms of itself squared or merely referring to the coil current isn't useful in finding the line current without the