What size 12 volt deep cell battery will run 38 watts of light for 8 hrs one day a week off a100 watt inverter
The battery will be charge by a 15 watt solar panel and the bulbs will be routed to an 100 watt inverter
The light would be on at night
most days we get more than 4 hours of daylight ( I plan to add a 400 watt wind generator in the future since it windy here in Nebraska most days ) I don't know what the efficiency is of the inverter but see how it is small and the amount of amps being drawed it won't make much of different.
How many hours a day does the sun shine?
Do you know the efficiency of the inverter?
Just to make the math easy, I'll assume that you'll need 50watts input to the inverter to power the 38W light, probably a little too high, but it's an easy number to work with.
50W x 8 hours is 400watt hours.
You say "run 38 watts of light for 8 hrs one day a week" will the light be running during the day (say indoors) while the solar panel is providing power or at night?
To be on the safe side I'll assume the battery has to provide the full 400Wh, batteries are usually rated in amp hours, at 12V, 400Wh / 12W = 34 amp hour, it is really best not to completely drain a battery, even a deep cycle one, so maybe about a 50-60Ah would be a reasonable size.
To recharge the battery in a week you'd need to average 400Wh / 7 = about 60Wh per day, plus something for losses
With a 15W panel you'll need to average a little more than 4 hours/day of full output.
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