Yeah i've seen those calculations before, quite handy it all being on one page. But using those calculations 10/1 or 100/10 both gives 10, so this is why i think there must be something else to play.
Wow now thats a reply! Thank you all others that have responded also.Yes there is. It is mostly about what they call Bmax, which is the maxium flux density that the steel core can handle before it saturates.
So with only 10 turns on the primary the transformer core may saturate and that means the transformer can not function like a transformer instead it acts like a very low ohm short circuit primary.
With 100 turns, the primary may not saturate and so it may work right.
It may even take 200 turns, or maybe only 50 turns, but to find out you have to know the max flux density for the type of core you are using for the transformer. Most power like transformers have a Bmax of around 20kG which is 20 kilogauss which is 20000 Gauss.
The formula then is:
B=1e8*E/(F*A*N*4.44)
where
B is in gauss
E is rms sine wave voltage in volts
F is frequency in Hertz
A is cross sectional area in square cm
N is number of primary turns.
It is best to keep B around 15kG to avoid problems with variations due to environment and other. Thus you can start with B=15000 and solve that equation for N and that is the minimum number of turns needed for that given core.
The DC resistance is made according to what is needed in the application. If you need heavy wire you use heavy wire but you may have to increase the core window area which means getting a different core in most cases.
Depending on frequency you may have to wind using two wires or more wires at the same time to avoid losses due to skin effect. This becomes more important at frequencies above 100kHz but with higher current transformers it could be much lower.