start with the total turns from the datasheet
1696/2200 =1:1.297 turns ratio as seen on the datasheet
so Sowter did the math right. round it up to 1:1.3
so it is kind of a bridging transformer with a bit of a step up,
the step up could be there to compensate for signal loss
or it could be there to provide a bit better match into the transistors,
inductance squares as the turns are doubled, just like impedance,
so you do not have to add twice as many turns to get twice the inductance,
more like root 2, which is 1.414.
1.3 is close to 1.414, so you would expect the henries to be almost double, but not quite.
we are lucky to have inductance figures on the datasheet, as this is the first time i have seen it on a transformer spec sheet.
they list the henries as 57 and 96.
almost double, so it looks like their L meter matches up with the turns count.
now we can get the impedance from the henries
take the pri
57 henries
the impedance of the pri is just the reactance in ohms from the formula
Xl = 2 pi f L
so Z = 2 pi f (57 henries)
Z= 6.28 f (57 henries)
Z = 357.96 f
(just punch the numbers into your search window, no need to pull up an online calculator)
ok we have the answer but there is a problem,
Z = 358 ohms f , but at what frequency?
when you talk impedance, you need to know at what frequency.
1 hz? no,
20 k hz? no
ahh, it says right on the sheet, L taken at 50 hz,
so plug in 50 for f and you get
50* 358 = 17,900 ohms
call that 18 k input impedance
do the same for the sec, or use the turns squared to get the ratio.
the sheet says 30 k load, lets check this,
what is our impedance ratio?
same as the turns ratio only squared.
1:1.3 turns will equal about 1:1.69 Z ratio, round that number to
1:1.7 impedance ratio.so multiply 18 K by 1.7 and we get 30,600 ohms.
so the datasheet is right,
pri Z = 18 K, sec Z = 30 K,
if you do not want to load down your source, you make the load at least 10 times higher than the source.
so if the source is 300 ohms, as they say on the sheet,
it looks like they have a load factor of 18,000/300..
60 to 1.
this is a lot higher then 10:1, maybe they have a sensitive source, like a microphone?
or maybe a passive filter?
so you could use this as a solid state mic pre input, or a solid state Pultec input transformer,
single ended transistor amp only, as there is no center tap for push pull operation.
18 db input level, that could handle a condenser mic output,
you could also figure this all out by taking the turns count, looking up the specs for the core, and figuring out how many turns equals how many henries for that core,
we were lucky not to do that as we have the specs already measured.
so to summarize,
Sowter 4257/BBC LG 96A
1:1.3 Turns Ratio
18 K Pri Imp.
30K Sec Imp.
Max Headroom (remember him? ) 18 db