Lead acids batteries, and the wet and "gels" cells are really the same,
will see a terminal voltage after they've been fully charged but stabilize of 12. 6Vdc, or 2. 1V per cell.
After removing the charge, they will very slowly float down to 12. 6 or 12. 75.
If you put a very minor load on it, it should go down to 12. 6 more quickly.
Lead acids have two rated float voltages, for cyclical use and for storage use.
For storage use they want 13. 6Vdc as a float voltage @ 75DegF.
For cyclical use they want 14. 1Vdc as a float voltage @ 75DegF.
The lower the temps, the higher the float voltage is recommeneded to attempt to charge the battery well and to retain capacity.
Down to about 25DegC @ 14. 7Vdc.
The higher the temp, the lower the float voltage as to not heat the battery to much and reduce it's life. The high end escapes me now. . I don't remember the max temps and related voltages. . but it gets down to 12. 9 if I remember right. - yea its barely charging. . so you may get a hint that under the hood we are beating the daylights out of these batteries.
When storing a lead acid battery, wet or gel or agm or what every you want to call them. . they should be stored with a charge float voltage of 13. 6vdc. Like when you store your trailer.
Some DC supplies in the trailers that also charge the batteries, have a switch 13. 6 or 14. 6.
The 13. 6 is for storage long term.
If you've been unhooked for some time and running on battery and only expect to be plugged in for a few days and expect most of your trip to be like that (cyclical), the 14. 6 should be used. Back to 13. 6 for long term storage.
Cars and trucks are considered cyclical use.
So normally you will find it around 14. 2 - 14. 7 .
In the old days the old mechanical regulators had a either or. . 13. 6 when it was hot and 14. 6 when it was cold.
A lot of the new electronic regulators have more steps.
So when it's real could out you may see it some what higher than when it was a bit warmer.
Plus it all depends what else you have on and what the RPM is.
Typically at idle the alternator can't handle full loads or even half load, and charge the battery at the same time after starting.
There's a rating and usually the FSM calls out the RPM to check the full output current of the alternator at.
So if the heater grids is one, and the headlights, and your at idle and just started the truck. . the voltage across the battery is going to be real low. . lucky to be 12. 6 , Just too much of a load at idle