What is the formula for the phase voltage of a wye winding?

What is the formula for the phase voltage of a wye winding?

• A. V(Phase) = V(Line)/√2
• B. V(Phase) = V(Line)/√3
• C. V(Phase) = V(Line)*√3
• D. V(Phase) = V(Line) + √3

Answer: (B)

The phase voltage of a wye winding can be determined by understanding the relationship between line voltage and phase voltage in a three-phase system. In a wye (or star) configuration, each phase is connected to a common neutral point, which allows us to derive the phase voltage from the line voltage. The correct relationship is that the phase voltage is equal to the line voltage divided by the square root of three. This arises from the geometry of the phase voltage vectors, which form a 120-degree angle between each other in a three-phase system. Consequently, the line voltage (measured between any two phases) corresponds to the vector sum of voltages of the individual phases, leading to the formula: \[ V(Phase) = \frac{V(Line)}{\sqrt{3}} \] This demonstrates that in a wye connection, the line voltage is higher than the phase voltage by a factor of √3.

The phase voltage of a wye winding can be determined by understanding the relationship between line voltage and phase voltage in a three-phase system. In a wye (or star) configuration, each phase is connected to a common neutral point, which allows us to derive the phase voltage from the line voltage.

The correct relationship is that the phase voltage is equal to the line voltage divided by the square root of three. This arises from the geometry of the phase voltage vectors, which form a 120-degree angle between each other in a three-phase system. Consequently, the line voltage (measured between any two phases) corresponds to the vector sum of voltages of the individual phases, leading to the formula:

[ V(Phase) = \frac{V(Line)}{\sqrt{3}} ]

This demonstrates that in a wye connection, the line voltage is higher than the phase voltage by a factor of √3.