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TeslaEarth - Harnessing the Wheel work of Nature. Power up the Earth's Ionosphere using the current source 2kA.
Earth to Ionosphere resistance 200 ohms. This gives a Norton equivalent current source, diode for one way.
Voltage Earth to ionosphere V = I.R = 2kA.(200 ohms) = 400kV d.c. biasing.
Power on the pulse d.c vibration ionosphere. Earth Electrical Discharge Pulse Vibration 500 kCycles (hz) typically..
Periodic time T = 1/f frequency. T=1/(500k) = 2 us (2 microseconds) pulse d.c. 400kV at 500 kCycles (hz).
Pulse Impulse voltage source using diode for one way.
Using Gauss's law concentric spherical capacitors Earth to Ionospheric capacitance 0.25F (Farad) or 250mF (milli Farad) with
Effective Series Resistance back from Ionosphere to Earth 200 ohms. Powering the receiver.
Tuned Receiver using a sphere/ball capacitor (as an elevated plate terminal) as a charge condenser.
Single sphere small inner radius say 10mm(20mm Diameter). Very Large Outer Radius of Space.
Capacitance C = 4.pi.Eo.R = 4x(3.1416)x(8.85x10^-12)x(10/1000) = 1.11pF pico Farad = Ct
The amount of charge stored Q = C.V Energy received E= C.(V^2)/2, Power P= E.f .(50%) = Energy x Frequency x Pulse Width duty cycle.
Tuned resonance pulse frequency 500kHz, using typically 50 ohm parallel resonant receiver.
At parallel resonance the receiver behaves as infinite impedance open circuit.
Xc = 1/(2.pi.f.C) so C = 1/(2.pi.f.Xc) = 1/(2.pi.(500k).(50)) = 6.36nF nano Farad = Cr
Xl = 2.pi.f.L so L = Xl/(2.pi.f) = 50/(2.pi.(500k)) = 15.91 uH micro Henry.
Using a simple 1:1 isolation transformer both primary and secondary in resonance together.
Turns ratio Np:Ns = 10:10
Secondary capacitor tuned same as primary 6.36nF.
Attach loads resistive down to 50 ohm a typical load 1k ohm.
Power d.c motors using a single diode rectifier.
"Empirically" Estimating the Coupled Voltage in Receiver Vin at resonance from Spice observations.
Conductance Ionosphere 1/Xi = (2.pi.f.Ci) = (2.pi.(500k).(0.25)) = 785,398 mho.
Resistance Earth Ionosphere R = 200 ohm.
Resonant Receiver Z = 50 ohm.
Vin = V (R+Z)/(R+Z+1/Xi) = (400kV).(50+200)/(50+200+785,398) = 127volts.
Elevation of terminal electric field 100V/m Volts per meter height so raise Receiver terminal 1.27m.
Energy received E= C.(V^2)/2 = 1.11pF(127^2)/2= 8.951 nJ (nano Joules).
Power P= E.f .(50%) = 8.851nJ. (500kcycles).(50%) = 2.23mWatts.
Peak Output power is orders of magnitude above at resonance, Spice current x voltage output graphs.
Tesla equivalent circuit Cg+Ci. Looking from the primary inductance L backwards from an a.c. view.
Ignore the large d.c.bias, look at a.c. only circuit theory superposition looking back we see all capacitances
in parallel Cterminal+Creceiver+Cionosphere = Cg+Ci = Ct +Cr+Ci = 1.11pF + 6.36nF+0.25mF.
The Dielectric Wave is used to charge the elevated terminal. Ct << Cr << Ci so as not to affect resonant tuning.
The ionospheric & earth current runs from all stars predominantly Sun to Earth inflow and outflow via Aurora Borealis and
Aurora Australis.
This is only the dielectric longitudinal sky wave component not ground wave.
Author Lee Dickinson, Engineer, Lincs, U.K.
Date:3rd March 2017.
Reference, Tesla Equivalent Circuit of Earth's Electrostatic Voltage Field, Diagram.
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