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Stavale8099

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I'm trying to teach myself ...still learning...but I'm stumbling.

I have a 15W solar panel whose output is 5V and 2.1A. I wish to charge a 12V battery (98Wh/8800mAh), but am unsure how to do this calculation as approximate time it would take (Assume sunny days - I know it's an inefficient system).

Second, I have a 110v inverter that plugs into this battery. I believe it's rated at 0.9A, 100W max. I wish to power (or at least figure out limitations) a 165W self-ballasted mercury vapor bulb. Is this possible? If so, how fast would I drain the battery? The bulb is rated at 1.63Arms.

Thank you so much

Eric