1) When I plug into shore power at a campground, how much "power" am I getting (15 "somethings" or 60 "something elses" or 120 "whatzits") and HOW is the power measured?
You need to find out how many watts your battery charger is using because most generators are rated in watts. Or you can make an educated guess from the charger's output. If it has a 10A output, its consuming around 150W. A 15A plug is good for 1800W.
Here's how I figured the wattage:
Volts times current=watts.
12Vx10amps=120 watts going from the charger to the battery, but the charger wastes a little power in heat so figure 150W total.
It works for 120V too. 150W/120V=1.3 amps going from the plug into the charger. The higher the voltage, the less current it will draw so thats why there's less amps going in at 120V than coming out at 12V. But the power consumed is always the same, no matter what the voltage. Thats why they rate generators in watts. But, the bottomline is that the battery charger is a dinky little load compared to typical generator sizes.
2) If I DON'T have access to shore power, but do have a generator, does my on-board battery charger "know" the difference?
Depends. Some generators have a very nice clean 120V power. Others don't. But, a battery charger isn't very picky about power so it probably doesn't matter what kind of generator you use, as long as it 120V.
3) Is there some magical formula that can be shared in layman's terms to size a generator to replace the outlet on a shore power pole so my battery charger CAN'T tell the difference between generator power and shore power?
No magic formula in this case other than picking one that is big enough. Since a battery charger is such a small load, about any generator over 1000W will power it. A 1000W generator is about the smallest size that is widely available. But, all bets are off if you try to power A/C or microwaves. Those are different animals and require larger generators.
4) Can it be so simple that a generator can be used intermittently to charge the teardrop's house batteries (through the on-board charger) so that boondocking would be limited to my supply of generator gasoline and not the size of the battery itself?
Yup. Oh and limited by the burly guy in the campground who doesn't like how loud your generator is.
Bruce
P.S. Be careful with your minn-kota battery charger when it comes to fluorescent lights. I killed one by turning on a fluorescent light when the battery was disconnected.
P.P.S. I have a 6 amp battery charger and my 1000w generator doesn't even break a sweat powering it..