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The secondary line-to-line voltage of a three-phase Y-Y-connected transformer bank is 115 VAC. What would be the secondary line to neutral voltage?


A. 199.2 V

B. 66.4 V

C. 84.2 V

D. 50 V

Respuesta :

Answer:

B. 66.4 V

Explanation:

for a Y-Y connection (star connection), the relationship between the line voltages and the phase voltages is governed by the formula:

[tex]V_{L} = \sqrt{3} (V_{ph})[/tex]

Where [tex]V_{L}[/tex] = Line Voltage = 115 V (AC there just shows that the current is alternating current )

and [tex]V_{ph}[/tex] = Phase Voltage

⇒  [tex]V_{ph}[/tex] =  [tex]V_{L}[/tex] / [tex]\sqrt{3}[/tex]

[tex]V_{ph}[/tex] = 115 / [tex]\sqrt{3}[/tex]

[tex]V_{ph}[/tex] = 66.4 V

Hence the secondary Line to neutral voltage is 66.4 Volts

The secondary line to neutral voltage is Option B 66.4 V.

Given that,

  • The secondary line-to-line voltage of a three-phase Y-Y-connected transformer bank is 115 VAC.

Based on the above information, the calculation is as follows:

[tex]V_{ph} = V_L \div \sqrt{3}\\\\= 115 \div \sqrt{3}[/tex]

= 66.4 V

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