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Assuming this could be done with no conversion loss a 20 watt load at 120 volts would require about 1/6 of an amp. A 7 ampere hour battery would run the load for 6 x 7 = 42 hours.

However, if you actually built a circuit to up convert 12 volts DC to 120 volts AC there would be significant conversion losses.

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12y ago
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6d ago

Assuming 100% efficiency in the conversion process, the power output would be 7 hours at 12 volts, so the total watt-hours of energy stored in the battery would be 12 volts * 7 amp-hours = 84 watt-hours. With a load of 20 watts, the battery would last 84 watt-hours / 20 watts = 4.2 hours when converted to 120 volts AC.

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Q: How long would a 12 volt 7 amp hour battery last if converted to 120 volts ac using 20 watts?
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