What is the relationship between phase to phase and phase to neutral in Delta secondary voltages?

The correct response highlights the fundamental relationship between phase to phase and phase to neutral voltages in a Delta secondary system, which is crucial for understanding three-phase power distribution.

In a Delta system, each phase is connected across two phase conductors. Therefore, the voltage measured between any two phases (phase to phase) reflects the entirety of the circuit's action, capturing the full voltage potential of the two phases involved. The phase to neutral voltage is less because it represents the voltage from one phase to a neutral point, which is not present in a pure Delta configuration as it lacks a neutral point.

The relationship can be expressed using the formula for a Delta connection:

[ V_{ph-ph} = \sqrt{3} \times V_{ph-n} ]

This implies that the phase to phase voltage is approximately 1.732 times the phase to neutral voltage. This square root of three arises from the geometric relationship of the phase voltages in a three-phase system.

Thus, if a correct understanding of the Delta system is established, it becomes evident that the phase to phase voltage is always 1.73 times greater than the phase to neutral voltage, reinforcing the significance of this ratio for calculations and operations involving three-phase electrical systems.