Question 1
For the single-phase residential supply system shown, the voltage from Line 1 to Line 2 would be:
![](data:image/png;base64, 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◦
zero.
◦
60 V.
◦
120 V.
◦
240 V.
Question 2
For the single-phase residential supply system shown, the voltage from Line 1 to Neutral would be:
![](data:image/png;base64, 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zero.
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60 V.
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120 V.
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240 V.