ditto...everyone else
have a cheap 20 to 30 buck sump pump that i bought on sale. regular like 60 bucks. it was also the smallest AMPs i could find in a sump pump.
for the s10 blazer, if i use a 12v cig to 110v converter, and normally a 30 footer or so extension cord with the pump. i have to keep the blazer running and use a stick or something to slightly hold down the gas peddle. to keep some RPM's up on the engine. or i will drain the battery dead as a door nail within a few minutes.
if i use the deep cycle marine battery, (trolling motor and/or weed sprayer cart primary usage for battery), if i try to use alligator clips from battery to converter same thing, drains the battery dead quickly.
while the converters do work and have used them multi times, majority of the time i have to drag out the gas generator, vs trying to use the cig 12v to 110v inverter. due to power tools needing to much power for a given length of time.
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when i see folks in the buying/comparison forum, i try my best to denote seeing about getting a larger "alternator" for tractor if that is an option for the specific unit they are looking at. due to part trying to use a inverter like you want to do. or using a bigger size "winch" or extra lights on tractor.
having a FEL with generic bucket, or 3pt hitch carry all, or 3pt hitch forks with some lumber across them to hold a regular generator comes in handy for odd/job projects i have around the farm.
i would think a PTO style generator would get in the way for me, ((needing generator separate from tractor)) due to sometimes needing to use both at the same time.
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besides the sump pump,
i have used 110v blow up bed inflater, to blow up various rafts, or suck the air out of the rafts for swimming.
charging laptop / running laptop.,
running a small / low amp cheap corded 110v drill when the battery drills go dead, and just need a few more screws or like to get the job done.
running a the small size low amp 110v dremal, "angle grinder needed to many amps" to grind off some bolts/nuts that were rusted together.
using same dremal above, to cut some pvc pipe.
not sure if i have used the inverter for anything else now that i think about it. due to generally all my power tools are the higher amp style tools, vs the cheapest power tool you can find at menards (normally cheapest = smallest amps needed to run them) or like, and requires me to break out the gas generator.