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How long can a 200Ah battery run a load of 600 watts?

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200Ah x 12 volts = 2400 watt-hours; divide by 600 = 4 hours. That's to complete exhaustion, which is bad for battery life. If they are deep discharge traction types, 80% discharge would be better; 80% x 4 hours = 3.2 hours.
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