Problems with calculation
Christopher Strevens
My calculations of inductance did not match the experimental result and the calculations for self inductance were also wrong. So I used experimental result for the inductance with a multimeter.
My calculations for winding resistance were right after correcting a simple mistake.
The calculations for power are based on the published result of 0.5W/KPa^2/cc at 6KeV (the peak of the published curve for deuterium). I calculated the pressure from the ampere turns in the winding (600) and the repulsion between this current sheet and the induced ion current in the ionised gas in the reaction chamber. 600x600*mu/(distance between current sheets)/(length of interaction)/(2*Pi*(radius of reaction chamber)^2)/1000 KPa.
The reaction chamber is 6mm Diameter and the hot region is about 20 mm long and this is where the ion pressure occurs.
The resonant frequency is calculated from the inductance and capacitance using published formula and the current is from the published formula for the reactance of the inductor and the resistance at resonance.
Since I intend to use natural hydrogen the deuterium present is the reactive species so the power will be much less. It is a second order reaction so the power will be the calculated result for pure deuterium*(Fraction of deuterium present)^2
Looking this up in Wikipedia I see that the fractional content of Deuterium is 1/6400 so the power will be 24E-9 x 5E14 or 12E6 with an RMS potential across the reactor coil of 2000 v
See the computer output below:
Diameter of Wire 0.17
Diameter Of Former mm 60
Length Of Former mm 60
Number of Turns 13000
Turns per layer 352.941176
Number of Layers 36.8333333
Diameter of coil 0.72523333e-1
Length of Wire 2727.04675 Meters
resistance of winding 2018.06811
inductance by measurement 7.6
varactor capacitance (uF)12
Capacitance 0.13333333e-5
dynamic impedance 2824.48346
Extermal Capacitance 0.0000015
Resonant frequency is 49.9879868
1 for exit 2 for another turns value 1
Q 1.18304593
Winding Mass 0.55347263 Kg
Rms Potential 2000
Half Wavelength 0.03
Velocity 2.99927921
Peak Potential 2800.0
Peak Current 0.89568024
Peak Ampere Turns 11643.8431
Plasma Current 11643.8431
Plasma Current Density 1.16438431e9 Amp per meter^2, near centre
Ion Pressure of Plasma 3.15563757e10 Pa
Power lost through resistance 1156.41515 Watt
Power Generated if Deuterium 5.63215935e14 Watt
Power Generated by natural hydrogen 13517182.4 Watt
Potential Across Varactor 237.600808 Volt Actually a series capacitor of 12 uF to adjust the frequency to nearly 50 Hz
Potential Across External Capacitor 1900.80646 Volt
1 exit 2 loop 1
1 exit 2 again 1
Chris.
Dr Chris
http://www.cs003o327.webspace.virginmedia.com/