Charging multiple cell packs: At the moment I charge the batteries, 3x cell at a time, because of the charger set-up I have, which takes too long and requires the cells to be apart each time. Once they have been made into a pack, I will be able to charge all at once. That's why I'm stepping up the charging set-up.
Fair enough - but there are presumably be 'half-way houses' between 3 cells and 27 cells which would/could have been much cheaper for you.
As I use lots of 12v applications, a variable power supply with 16V max would be a good compromise. I think 5A would also be good, so that sounds to me like 4x strands of cotton covered 21SWG?? Now I need to work out the length of wires, to make up the amount of turns with a bit spare.
As has been said, you need to look into the current-carrying capacity of the wire when it is all wound around a transformer core - the 'ratings' you're most likely to come across will relate to a single strand of cable in free air.
I have rectifiers, and a variac for a slow voltage ramp, for the cap. Can I assume that a too big, as in uF will be ok for a variable unit?
The greater the capacitance of the capacitor, the greater will be the (potentially very high) transient surge of current through the rectifier at switch-on (when a very high capacitance capacitor will look almost like a short circuit for a very short period of time). You would therefore need to ensure that the rectifier you were using was capable of withstanding the (very brief) peak surge current at switch-on which was going to result from the capacitor you were using. You could probably find that maximum surge current from the rectifier's data sheet, but it would probably be much more of a mission to try to estimate what the peak switch-on current through the capacitor would be.
KInd Regards, John