A 12 V 200 Ah battery stores 2,400 Wh. Using 90% of a LiFePO4 battery through a 90% efficient inverter leaves 1,944 Wh, enough for 19.4 hours at 100 W. Lead-acid gives about half that because only 50% should be used.
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For estimating and educational purposes only. Results are approximate and are not a substitute for a licensed professional, the manufacturer's instructions or your local code. Disclaimer