Fine Structire constant
Force on loop within loop and pressure to give power with a 5 mm reaction tube.
Ampere turns
Permeability free space
Length of winding is l (40mm)
Graph of central force This equation did not work so I deleted it.
Force (Newtons)
This equation came from a book
it had an exponential factor
with the exonent a function of
absolute temperature. I used
the dimensions.
Pressure in pascals
Power=0.5 x volume m^3 x100^3 x (Pressure (Pa) /1000)^2
I worked out the pressure to make the nuclei close enough for fusion previosly.
Volts Per Meter
The ion compressor coil generates an alternating potential at the resonant frequency along the tube through
the coil (It contains deuterium) and a little ionisation occurs, the circlating alternating current
induces an antiparallel alternating current in this ionised gas. Unlike currents repel so the
ionised gas is compressed to make the deuterons close enough together to undergo fusion
to make helium and a neutron. This heats the gas that expands through the magnetic field
of the ion compressor inducing more current. An inductively linked output winding sends
electrical power to an expernal load.
Power=0.5 x volume m^3 x100^3 x (Pressure (Pa) /1000)^2
The factor is the power of Deuterium at atmospheric pressure at normal temperature (I think
so) I think it to do with the collision frequency and the squared term is because it is a second
order reaction. A large volume of deuterium gets hot. Pg is the fraction of colisions that result in a reaction. The Pressure/1000 squared term is squaed because it is second order.
Here I take the radius of the tube gives the volume of the reacting gas and it is compressed
to a very small volume to bring the ions close but only a tiny fraction (Pg) react.
This power (10^5 Watt) is only maintained for a short time during the peak of the current waveform so the average power is much less.