let us take two coils, that measure 2 ohms

Now if we connect these in parallel, as many

of you audio buffs out there know, you have

Only 1 ohms......

Hmm ok

So we have our parallel coil of 1 ohms

And we couple this inductively to a single primary coil

Which itself measures 1 ohms

A nice core might help but that just complicates the

Math. We can use air, and find the L for each one.

So we have a 3 coil transformer, two coils in parallel

And both paths measure 1 ohms.

Well certainly the laws of induction dictate that one

coil has many more turns than the other, and thereby

each must have a different induction.

So what happens when this coil induces a voltage in the

secondary?

More importantly, what happens when a/c current runs

through the transformer?

In a/c: Inductive Reactance is the equivalent to impedance

or Resistance, and Ohms law still applies.

It is defined as R(x)= 2(pi)fL

Where f is the frequency and L is the inductance in Henries.

Frequency - we can control that......

What is this L thing? and why does it change?

It is always two things. No matter what coil

We can take these two things and twist and bend them

Flip them this way and that.

L is always two things.

The electric and the magnetic.

These two things are mathematical constants of the universe.

All we can do is change one dimension by affecting the other

And we do this by the inductive/capacitive exchange mechanism

It's like a trade off. We change our L by making the wire longer,

Adding more loops, using thicker wire, and changing the diameter

of the loops. (Note: the loops of a coil need not all be the same diameter)

LC =em always

What I propose, is a uniquely wound transformer

One the inductance of which follows a simple equation

There are a multitude of combinations that could be used

But the condition must hold true for both the primary coil

and the secondary double-coil.

Whatever frequency you want to run this at

The inductance of both paths of the transformer

Must be:

L = 0.159154943/f

At that frequency sir Georg Simon Ohm will destroy

Thermodynamic Theory, from his grave.