If a wye-connected transformer has a line-to-line voltage of 208 volts, what is the voltage across each winding?

If a wye-connected transformer has a line-to-line voltage of 208 volts, what is the voltage across each winding?

• A. 120 volts
• B. 208 volts
• C. 240 volts
• D. 190 volts

Answer: (A)

In a wye-connected transformer, the line-to-line voltage is related to the voltage across each winding, which is referred to as the line-to-neutral voltage. The relationship can be defined using the formula: \( V_{line-to-neutral} = \frac{V_{line-to-line}}{\sqrt{3}} \) This means to find the line-to-neutral voltage from the given line-to-line voltage of 208 volts, you would divide 208 volts by the square root of 3 (approximately 1.732). Therefore, the calculation is: \( V_{line-to-neutral} = \frac{208 V}{\sqrt{3}} \approx 120 V \) This shows that the voltage across each winding in this scenario is 120 volts, which matches the correct answer. Understanding this concept is fundamental in working with wye connections in electrical systems, as it helps in designing, troubleshooting, and ensuring the systems operate correctly within their defined voltage levels. The other options do not align with the standard calculation for a wye-connected system and do not represent the line-to-neutral voltage derived from a line-to-line voltage of 208 volts.

In a wye-connected transformer, the line-to-line voltage is related to the voltage across each winding, which is referred to as the line-to-neutral voltage. The relationship can be defined using the formula:

( V_{line-to-neutral} = \frac{V_{line-to-line}}{\sqrt{3}} )

This means to find the line-to-neutral voltage from the given line-to-line voltage of 208 volts, you would divide 208 volts by the square root of 3 (approximately 1.732). Therefore, the calculation is:

( V_{line-to-neutral} = \frac{208 V}{\sqrt{3}} \approx 120 V )

This shows that the voltage across each winding in this scenario is 120 volts, which matches the correct answer.

Understanding this concept is fundamental in working with wye connections in electrical systems, as it helps in designing, troubleshooting, and ensuring the systems operate correctly within their defined voltage levels. The other options do not align with the standard calculation for a wye-connected system and do not represent the line-to-neutral voltage derived from a line-to-line voltage of 208 volts.