The Matrix
Calculations for the apparatus — what a choke and a cell ring at, what the water is doing, what the circuit is asking of the drive.
Every calculation here shows the formula it used, the method in words, what it assumes, and where the formula came from. A number without its working is an assertion; this archive does not make those anywhere else, and will not make them here.
Measurements — what was recorded at the bench, kept separate from what is predicted here.
15 calculations in the catalogue. The rest are planned — see docs/PLAN-MATRIX-ENGINE.md.
Water and dielectric
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Water permittivity at temperature WFC standard physics
What is the dielectric constant of the water in the cell once it has warmed up?
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Complex permittivity and loss (Cole-Cole) WFC standard physics
How much of the energy put into the cell is stored, and how much just heats the water?
The cell
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Coaxial cell capacitance WFC standard physics
What is the capacitance of a tube-in-tube cell with water between the walls?
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Flat-plate cell capacitance and field WFC standard physics
What is the capacitance of a flat-plate cell, and how hard is the field across the water?
Resonance
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Series LC resonant frequency VIC standard physics
At what frequency will this choke and this cell ring together?
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Inductance needed for a target frequency VIC standard physics
What choke do I need to make this cell resonate where I want it?
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Q factor and voltage rise VIC standard physics
How sharp is the resonance, and how much voltage appears across the cell?
Chokes and coils
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Coil inductance (Wheeler) VIC standard physics
How much inductance will this coil have when I have wound it?
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Coil self-resonance VIC standard physics
Above what frequency does this choke stop behaving as an inductor?
Transformer and core
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Transformer step-up to the cell VIC meyer
What voltage reaches the cell for a given turns ratio, and what current does that cost?
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Minimum turns before core saturation VIC standard physics
How many primary turns does this core need before it saturates?
Step charging and gating
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Step charging accumulation VIC derived
Does the cell voltage climb over a gated pulse train, or fall back between pulses?
Gas output and efficiency
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Gas yield and Faraday efficiency WFC standard physics
How much gas can this current possibly produce, and how much of that did the cell actually make?
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Coefficient of performance WFC standard physics
How much energy is in the gas produced, against the electrical energy it took?
Multi-cell arrays
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Multi-cell array WFC standard physics
What does ganging cells in series or parallel do to the capacitance and the resonance?