To the best of my knowledge, the microwave and the light in the microwave are 110 volts and would not run down your battery. I would sooner think the propane and carbon monoxide detector would kill the battery. Usually within 3 weeks. The battery charge circuit in your converter may not charge your totally dead battery, as they are usually only 4-5 amps, but it's worth a try.
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2014 Jayco Jay Flight 33RLDS travel trailer, now seasonal in the Adirondacks, Honda EU3000 generator.
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