Coil Geometry

My Friends,

It is easy to take what is obvious to one, for granted, and not realise others may not see this for various different reasons, for this, I apologise!

Coil Geometry is an Important aspect, one which must be taken into account for many reasons! I will try to cover this in more detail in this thread! To fully appreciate the scope of this thread, one must take all aspects into account! Lets start with some fundamentals!

First, I want to point out, most of this has been covered in pretty good detail in my Videos and in various Threads on this Forum.

NOTE: I tried to point this out in the Thread: Delta B in Partnered Output Coils

Voltage V

Pointed out in other Threads, Voltage V is "Generated", predicted by Faradays Law. There are two variations of Faradays Law, each covering two different methods of "Generation" of Voltage V:

• E.M.F = -N dΦ_b / dt
• E.M.F = Bvl

Electromotive Force, E.M.F is measured in Units of Volts, and is the Total Unit Charge Difference between Two Terminals, one considered Positive and one considered Negative. Electrons e^- have a Negative Charge, and a Electron Hole, or Ion e⁺ not to be confused with the Proton p⁺, is considered a Positive Charge. As far as Science currently understands, each can "Move" relative to its position in three dimensional Space, relative to the Neiboring Quanta.

The Negative Sign - is Lenz's Law addition to Faradays Law, giving the Sine = 180 to the E.M.F. This is a Newtonian Action and Reaction Pair: For every Action there is an Equal and Opposite Reaction!

Number of Turns N is the Turns Multiplier for the Voltage Measured, or the E.M.F. If one Turn had a Difference in Potential of One Volt, then Ten Turns would have a total Difference of Ten Volts.

Change in Magnetic Field dΦ_b is also a Differential! This is actually quite easy, we must calculate a B_Min and a B_Max and take the Difference between the two! A Measured Magnetic Field B Minimum might 10 Gauss, and the Magnetic Field B Maximum might be 110 Gauss, so the Difference is: B_Max - B_Min = 100 Gauss. This means, dΦ_b = 100 Gauss.

Change in Time dt, is also a Differential, a change in time, if we were 10 seconds into a Test Run on the DUT, and we wanted to start a Measurement of the Magnetic Field B within this Duration, or Time Frame, and we stop at 12 Seconds, then, dt is t_Max - t_Min = 12 Seconds - 10 Seconds = 2 Seconds.

The Velocity v of the Magnetic Field B is the Speed of which the Magnetic Field B is "Moving".

The Length l, of the Conductor that the Magnetic Field B moves across, not to be confused with Coil Length l also, is a different Variable, that the Magnetic Fiend B with Velocity v, or cuts the Conductor Length l. 

The Magnetic Field B is a unit of Magnetic Field Density, how much Magnetic Field B can fit into the Cross Sectional Area or CSA.

Coil Cross Sectional Area CSA

Cross Sectional Area, CSA or sometimes just A, is a Windowed Variable. It is the Area of a Circle: A = πr², or Area of a Rectangle, or a Square: Length l x Width w = A, that the Magnetic Flux B can Change inside. This is a really important Aspect and Floyd Sweet referred to this as Aspect Ratio, giving the Cross Sectional Area an:

• Aspect Ratio
• Time Delay

Where each quantity plays a role in the Signal, or the Magnetic Field B's Rate of Change.

Area can only hold a specific Quantity of Magnetic Field B, and the bigger the Cross Sectional Area CSA, the more Magnetic Field B can be accommodated! Floyd Sweet gave us this Gem:

Now let us consider the losses. Copper or Cu I²R losses remain but may be minimized by using wire of larger than usual cross-sectional area.

Doing some Mathematical Experiments, it is easy to see why this becomes an important statement:

Exp 01:

Exp 02:

By doubling our Area, we have reduced our Turns from 100 to 25, 1/4 the Turns N, and got the same Output Voltage V, and not shown, our reduction in Turns, gives us a much lower Impedance in the Coil!

Coil Length l

Coil Length l, is another very important Variable! Again the Mathematical Experiment is required, and already shown previously, how such a simple change can make such a big difference to the over all Outcome!

Exp 01:

Exp 02:

By making a single change, to ONLY the Coil Length l, we have: 25132.7412287 / 2513.27412287 = 10 times more Magnetic Field B, for no extra Current I or Turns N! Our Magnetic Field is Stronger for No Cost, only a Geometry Change!

All we have done is make our Coils Shorter in Coil Length l by a Factor of 10. From 0.1 to 0.01 Meters, or 1Cm.

Coil Turns N

Coil Turns N gives us many over all Variables, Voltage V, Resistance R, due to Wire Length l and Wire Gauge AWG, Ohms per meter, and other issues like fitting Turns N on specific Spool Size and so on.

The ideal, but not always practical rule should be, minimal Turns N of Maximum Wire Gauge AWG on the shortest possible Spool Length, giving a Short Coil Length l.

So a Large Cross Sectional Area CSA with a Short Coil Length l, and Large Wire Gauge AWG, will give best results for the Output!

NOTE: Wire Gauge AWG is the Opposite of the Gauge Size, 12 Gauge is a thick Wire, 2.052mm, 20 Gauge is 0.8128mm,the Goal should be Thicker than normal Wire, meaning a Lower AWG! The Thicker the Gauge, the Lower the DC Resistance, thus the Goal, reducing the DC Resistance.

In the Electrical Generator, we see this situation all the time:

A Smart approach to an other wise simple problem, is the only way forward!

My Friends, Magnetic Field B_Max is a very important aspect to think about in Faradays Law Equation: E.M.F = -N dΦ_b / dt, we can see the Larger B_Max the more Voltage V "Generated"! Remember I have said, "get your Magnetic Fields Up" this is why.

Partnered Output Coils "Generate" Voltage V and Pump Current I to give: Power P = Voltage V x Current I Cos( Theta θ ) and thus Energy in Joules J is: Joules J = Power P x Time t.

Electrodynamics is entirely Void of Asymmetry, this is why Science is Incomplete!

Best Wishes,

   Chris