"I am hoping to make the 'machine' as a replica to the hand drawn sketch shown early in this thread, then there is a yard stick to work on."
Bets of luck with that, I have made many, but no two were the same. Every transformer I got hold of had different plate numbers or physical sizes, and so different character. You will have to fiddle with the divider network for the trigger and the oscillator for every oscillator transformer/transistor combination, and drive voltage..... it is very very flexible, and by controlling both those dividers, we can get them the same.... but the power transformer will give it it's ultimate grunt quotient... for the same voltage and capacitance.
Now pictures of coils.
No 1.
Will give you no output emf, as cancellation is complete.... look at it carefully and follow the emf of a single half cycle ( can treat it is a battery perhaps for this purpose, as it has sign and potential at any frozen point in time).
Note that they have identical emf in the same sign, so you have effectively added one .........say 12v battery .....in series with another 12v battery, but have joined the two positives together, and have the wires going to the two separate negatives..... full cancellation.... 0v
No2. Is parallel two in hand, and will result in say 2 12volt batteries in parallel, positives joined and negatives joined... twice the currrent at the same 12v potential. This is how I wind mine... gives twice the current handling, at 1/2 the resistance/impedance.
No3 and 4 I'm not sure how to interpret ... nor has anything to do with bifilar as I know it........... as the windings have to be identical as they are two in hand.... cant counter wind.... they are identical, thats why we do it .... they share the same magnetic and resistive events at identical times in the sine/pulse wave at all points along the wire. The resistance of both coils is the same at all times at all points along the winding.
The best thing about bifilar is the identicalness of the windings. Remember, you will get some phase changes in resistive inductors, so you want the resistance to see the same things at the same times if in parallel etc...... we can use this phase relationship in single phase induction motors.
The start fields and run fields are two different thickness windings, and we get some phase alteration from this alone, as well as the physical magnetic position, and the added capacitors.....the caps and different thickness wires all add to give the starting torque to the rotating fields that the rotor sees............ so if were to counter wind, we would need to wind one first then the other in the other direction.... by necessity, it will use a longer coil path for the second winding..... this will experience different resistance, and then different phase character ( be it ever so small).......
We could say wind them side by side to keep the coil path the same length, but we lose coupling, and get a leaky transformer ( more magnetic leakage, less energy can be transferred, as the driving field is "further away" from the driven coil, so the magnetic flux is less than ideal) If we wanted to get tight flux low leakage, we would wind half the primary, then the secondary, then the other half of the primary on the outside... then the secondary sees flux from the outside and the inside, and sees a stronger changing field for the same magnetizing current. Particularly useful for pulse width modulation transformers where it is important to keep the leakage down to a minimum.
If you unwind a computer power supply power transformer, you will find this coil structure.... getting side tracked now..... oh well...
Series connection of bifilar windings can be seen in toroidal transformers that you can buy, and you can either parallel or series the secondaries for twice the Y voltage, at X current, or parallel for twice the X current for the same Y voltage.
You can see that to put the secondaries in parallel, we need the coils to be identical, or they will work against each other where they differ slightly.
So series connection is still your No1 diagram, but join one of the starts and an end together with a jumper wire... the remaining two "empty" wires left over will be a start and an end...... and be at twice the potential of a single winding/coil ( and twice the resistance/impedance).
So, we don't need to counter wind, we just use a jumper from the end of one coil to the start of the second... which effectively gives us counter wound, but with two identical in every way... coils.
Did that help, or just muddy things up.
......oztules