Still, as for how many amps one can expect the house battery to pull during charging, I'd like to know more. The electrical wizards here have gone deep on just about every other subject, but in this case, it's "it depends". Can we make some assumptions and get close? As another poster said (years ago?), Math me bro!
Umph. Well, the math isn't difficult - it's just your bog-standard Ohm's law applied to get a current value:
http://www.physicsclassroom.com/class/circuits/Lesson-3/Ohm-s-Law
The first problem comes from trying to fill in the blanks with correct values. To get a current value (amps flow) you need the resistance of the battery, which is a moving target (a variable which keeps changing values). Also the resistance of the wire, another moving target.
You also need the electrical (energy) potential difference expressed as voltage.
(That is not only a moving target, but for battery
charging it's also totally different than the examples in the Physics Classroom link, which I'll get to in a moment.)
Nevertheless, at any given moment (set of prevailing conditions), each of the variables will have a certain value, so you can run the formula with X values filling in the blanks, run it again with Y values, and yet again with Z values - and then plot the three (or better yet three-hundred) sample results on a curve to make your predictions.
BUT...(there's always a but)
In those examples on the Physics Classroom page, the voltage potential is a finite value. You start at say 3.0v and it's all downhill from there. That's fine for figuring loads supplied
from a battery (or other source with a fixed finite (regulated) max voltage, such as an electric grid) and the various online "voltage drop calculators" are all based on that sort of scenario so they work fine for that.
However...the second problem is that
when charging, the battery is at a certain voltage, say 12.2v (just to pull a number out of my... hat) but the alternator (or other source, such as solar) is running wide open (voltage not regulated) - a theoretically infinite voltage potential difference - until the voltage of
the system reaches a point where the voltage regulator (VR) (or solar charge controller) starts limiting the voltage.
Now how in hell do you apply Ohm's law when one of the numbers, voltage potential, is "infinity"? Obviously, you can't.
<and now a brief interlude>
With muti-stage battery chargers, for example an Iota, the bulk stage is done in "constant current" mode, but the absorb (and float) stage is done in "constant voltage" mode. What is the difference?
In constant current mode, the voltage is unregulated, allowing it to theoretically rise to infinity, in order to get the maximum current flow allowed by the resistance of the circuit. Of course, a current limiter is installed to protect the charger, so a 30a Iota charger is "current limited" to a max of 30a.
In constant voltage mode the voltage is regulated (limited), so it cannot theoretically rise to infinity.
So you start out with a voltage potential difference of battery vs. infinity.
In that situation
the battery regulates (limits) the voltage of the charging circuit. The total resistance of the circuit regulates (limits) the current (unless the resistance is low enough that the charger's current limiter comes into play).
This continues until the voltage of the battery (and thus the voltage of the charging circuit) reaches the bulk->absorb transition set point programmed into the charger. At that point, the charger starts regulating the voltage (switches from constant current mode to constant voltage mode) to prevent the battery voltage from rising beyond the programmed voltage limit.
And the total resistance of the circuit is still regulating (limiting) the current. But since the battery voltage is roughly the same as the regulated source voltage, AND the resistance of a lead acid battery rises as its SoC rises, the current flow isn't enough to bring the charger's current limiter into play, and the current flow becomes less and less as the battery absorbs.
Ultimately, the voltage potential of the battery and the voltage potential of the source become equal, and no current flows.
(Actually, an Iota with IQ/4 brain will change the regulated voltage from absorb voltage to float voltage after 8 hours, others will switch to float voltage when the current flow drops below a set value - some below 3a, some below 2a, etc.)
The purpose of this digression is because the terms "constant current", "constant voltage" and "current limited" are important to the topic at hand - taking a guess at how much current can be expected to flow from an alternator to a house battery in an overland vehicle.
[Don't want to hit the post character limit, so I'll continue in the next post.
"More to come..."]