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It would depend upon how many ampere-hours the battery bank can store and how often the 50 watt panel charges at full power. Obviously, if it takes 3 times as long to charge as it does to discharge (50/12 vs 1500/120), your battery is going to go flat in no time.

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Q: How long could you run a 1500W heater if you hooked a 50W solar panel to a 12x24V battery bank then hooked this to a 2000W inverter?
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