Just to beat this thing to death, and as mentioned (or alluded to) above, Ohm’s law (the current flow in a circuit is directly proportional to the potential and inversely proportional to the resistance, usually expressed in the form of i =E/r, where i is the current flow in amps, E is the potential in volts and r is the resistance in ohms) governs what’s going to happen when you attempt to charge a 6 volt lead acid battery with a 12 v charger, namely (depending on the capacity of the charger, how long you leave the charger attached, and whether the charger has any sort of current-limiting device) you’ll overcharge the battery (probably – as a consequence of the higher charging rate – overheating the battery and possibly warping the plates and/or boiling off some of the water in the aqueous H2SO4 electrolyte) and/or damage the charger.
Back to Ohm’s law; using the 4-amp starting rate for a 6-volt battery charger mentioned in an earlier post, the internal resistance of the battery would be (transposing Ohm’s law into one of it’s three forms, namely i = E/r, E = ir or r = E/i):
r = E/i = 6 volts/4 amps = 1.5 ohms.
Presuming the internal resistance doesn’t instantaneously change, then hooking up a 12-volt charger will give:
i = E/r = 12 volts/1.5 ohms = 8 amps.
Setting aside the fact that most [dry cell] lantern batteries (at least of the zinc-carbon type that uses an ammonium chloride paste as the electrolyte) are not meant to be recharged, the current likely obtained from attaching a 6-volt dry cell with 1.5 ohms internal resistance in series with a lead-acid battery might still be too high for the dry cell. As stated by others, the best situation (besides the obvious one of getting the correct 6-volt or 6/12-volt charger) would be to find a similar 6-volt lead-acid battery and charge them both at the same time, connecting the negative terminal of one battery to the positive terminal of the other and the charger to the remaining +ive and –ive terminals of the two batteries.
This is, after all, what a 12-volt lead-acid battery is; a set of 6 wet cells, each of which provides 2 vDC output (or two sets of 3 wet cells, i.e., two 6-volt batteries) connected +ive to –ive, such that all we usually see is the starting and ending +ive and –ive terminals.
Returning to ohm’s law, the two 6-volt batteries, each with a nominal internal resistance of 1.5 ohms, connected to a 12-volt charger, will give (remembering that resistances in series are additive; that is, R total = R1 + R2, whereas in parallel, R total would equal the product over the sum of the resistances, i.e., R1R2/[R1+R2]):
i = E/r = 12 v/(1.5 + 1.5) ohms = 12 v/3 ohms = 4 amps.
Don’t have a second 6-volt battery? You can achieve the same results (almost) by using a power (“power-dropping”) resistor with sufficient heat (power) dissipating capacity. In our example above, presuming the starting charging rate of 4 amps is what we’re concerned with, you’ll need a power resistor capable of dissipating:
P = Ei (or substituting E = ir) = i^2r = (4 amps)^2 x 1.5 ohms = 24 watts.
Note however (this is the “almost” part) that while the internal resistance of the battery will change (increase, in this case) as the fully-charged condition is neared (which is why the charging rate drops off as the charge nears its completion), the resistance of the power dropping resistor remains basically constant. Thus, near the end of charge (say when the charging rate nears ½ the starting rate, which is a rule of thumb for charging lead-acid batteries) when the internal resistance of the battery approaches 3 ohms, the voltage dropped across each component (the battery and the power resistor) will be:
E total = E battery + E power resistor = i x 3 ohms + i x 1.5 ohms = i x 4.5 ohms = 12 volts => (implies) i = 12 volts/4.5 ohms = 2.67 amps, resulting in:
E battery = i x 3 ohms = 2.67 amps x 3 ohms = 8 volts
and
E power resistor = i x 1.5 ohms = 2.67 amps x 1.5 ohms = 4 volts.
So now we’re getting back to overcharging the battery. This situation could be solved by getting a variable power dropping resistor (or – heaven forbid) adding additional power dropping resistors to match the increasing internal resistance of the battery, but at some point the light ought to go on (pun intended) and it becomes obvious that the simple and safe (and cost-effective) solution is to buy a 6-volt (or 6/12-volt) battery charger.
Or change to a 12-volt system, if you’re a real masochist…
Zzzzaaaap!!!
(Scotty, beam us up! Please!...)