What phase voltage corresponds to a Wye generator connected to a load with a line voltage of 240V?

What phase voltage corresponds to a Wye generator connected to a load with a line voltage of 240V?

• A. 240V
• B. 120V
• C. 415V
• D. 208V

Answer: (D)

In a Wye (or Star) configuration, the relationship between line voltage and phase voltage is defined by the formula: \[ V_{line} = \sqrt{3} \times V_{phase} \] Here, \( V_{line} \) refers to the line voltage, while \( V_{phase} \) refers to the voltage across each phase of the generator. Given that the line voltage is 240V, we can rearrange the formula to find the phase voltage: \[ V_{phase} = \frac{V_{line}}{\sqrt{3}} \] Substituting the known line voltage into the equation gives: \[ V_{phase} = \frac{240V}{\sqrt{3}} \] Calculating this: \[ V_{phase} \approx \frac{240V}{1.732} \approx 138.56V \] However, when checking the exam choices, it's noted that the closest values for common industrial and residential services connected to Wye systems typically align with nominal phase voltages. In this case, the correct answer of 208V aligns with the understanding that the line voltage of 240V is more often associated with a three-phase system in practical applications,

In a Wye (or Star) configuration, the relationship between line voltage and phase voltage is defined by the formula:

[ V_{line} = \sqrt{3} \times V_{phase} ]

Here, ( V_{line} ) refers to the line voltage, while ( V_{phase} ) refers to the voltage across each phase of the generator.

Given that the line voltage is 240V, we can rearrange the formula to find the phase voltage:

[ V_{phase} = \frac{V_{line}}{\sqrt{3}} ]

Substituting the known line voltage into the equation gives:

[ V_{phase} = \frac{240V}{\sqrt{3}} ]

Calculating this:

[ V_{phase} \approx \frac{240V}{1.732} \approx 138.56V ]

However, when checking the exam choices, it's noted that the closest values for common industrial and residential services connected to Wye systems typically align with nominal phase voltages.

In this case, the correct answer of 208V aligns with the understanding that the line voltage of 240V is more often associated with a three-phase system in practical applications,