John Fields said:
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Because the turns ratio has nothing to do with the resistance ratio.
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Well, no. What _really_ matters is the resistance of the winding,
since that'll determine the voltage dropped across it, and that
voltage won't be able to be used by the load. While the I²R losses
increase the winding's resistance, it's not usually enough to
matter much. For a clue, take a look at the temperature coefficient
of resistance of copper and translate that to the change in
resistance of a winding due to the change in temp. In any case, the
temp rise because of I²R losses should be taken care of during the
design of the transformer and the proper wire size chosen to give
the desired regulation at that maximum temperature.
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You _cannot_ use any wire size in any application and expect the
application to work. For example, it would be pointless to wind a
secondary expected to supply 12 volts at 10 amperes with a single
strand of #40 AWG.
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Precisely. And, for the transformer the OP was talking about,
(which he was using as a stepup transformer to get the results he
did) it would have been pointless to have wound the high-voltage
winding with larger diameter wire than the low-voltage winding.
No! Why you think he is winding anything? They are already wound and it was
wound for a specific application. In general you are correct in that for a
step up the wire diameter will be smaller because there is less current. The
point I'm trying to make is that it is not a necessary or sufficient
requirement for step up transformers. maybe in 99.999% of transfomers it
will hold but even then there is no "formula" to calculate the diameter of
the secondary from the primary or vice versa.
I could easily make a transformer that would violate your "principle" and it
would work fine! Sure it might be cost or space inefficient but the
tranformer itself doesn't care.
Now you say "Well if its too small then it will over heat"!! This has
nothing to do with basic ideal transformer theory which says nothing about
wire's resistances or anything. Hell, if I wanted I could then just use
super conducting material and use infinitely thin wire on both sides!!
I think thats what you are doing. You are trying to make the OP think that
the diameter matters and gives a good approximation to the turns ratio and
it doesn't. Go take a transformer and measure the diameters then take the
ratio and I bet you won't get a good approximation to the turns ratio! I
DARE YOU!
Since I know you are chicken I did it for you. I have a tranformer on my
desk. Its a step down from 120:12(approximately) so its about 10:1.
The diameter of the primary is 100mil, the diameter of the secondary is 40
mil.... hmmm, is this 10:1 or 1:10? not even close!
Of course now you will claim that the person who made the transformer is
nutz and has no clue about transformer design.
WTF? I asked why that isn't shown in the books... I'm ASKING you why that
isn't true because you are essentially claiming it is. Thats why I have
question marks there.
Forget it... I can see this is a lost cause.
Damn, I really thought I put you on my ignore list... along with the other
morons. Well, you won't escape this time.