If you need 7.6v to power something and you only have 3.8v cells, you connect two in series and you get 7.6 volts. If you need 11.4v you connect 3 in series to get that voltage.How exactly are electric vehicles able to use Li-ion as their main power source, the 21700 e.g. has a maximum discharge rate of 35A while tesla motors draw up to 800A (very short research, might be wrong)
If your device requires 20 amps current flow and your cells can put out only 10 amps max, then you connect two in parallel to get the 20 amps. If you need 30 amps, you connect 3 in parallel.
If your device draws 20 amps and has to run for one hour you need more than 20 ampere hours capacity in your battery pack because 20 amps times one hour equals 20 ampere hours. If it has to run for two hours then you need 20 times 2 equals 40 ampere hours. If it only has to run for 1/2 hour then you only need 20 time 1/2 equals 10 ampere hours.
The ampere hour ratings quoted above are as if the current draw of the device was the same current draw as used when the cells are tested for capacity. This is seldom the case. The more usual case is that the testing of the cells was done at a much lower current and since the apparent ampere hour capacity of a cell decreases with current draw you need a bigger battery than calculated above. The correct calculation for a new battery would be to find it's "P" factor but often you may not want to do that either. In that case you just guess and used cells that are rated a lot higher than you calculate. For example, if you calculate 20 ampere hours then maybe a 30 ampere hours battery would be better. You can get some idea how to increase this number by looking at specs for other batteries with a similar chemistry.
Also, as time goes on the cells loose capacity so at some point if it runs for 1 hour when the cells are new it will run for only 1/2 hour at some point in the future as the cells age and are charged and discharged.
This is a little interesting for me too because i was just looking at high power Li cells yesterday and was amazed at the size you can get these days. You can get 200 ampere hours cells now but they are quite expensive sometimes over $1000 dollars USD.
There are some smaller ones like 12 ampere hour that are less i think like around 60 dollars USD.
You can check them out on Amazon for example.
[EDIT: I said "cells" when really i meant "battery packs" when discussing the large ones on Amazon.]
They are 12v for example at various ampere hour ratings and the package case style looks like a lead acid battery.
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