calculation · Water Fuel Cell · computed
WFC design session v39: best candidate (Q=57.6, 98.9kHz)
Sweep — Finer grid at the tight 10/12mm×60mm best with a low peak_v corridor (12-14V → 650-770V cell at Q55) paired with a surface_factor sweep — the untouched lever — to trade C_dl/R_ct and pull the film into the 80-250 Td window while holding leakage low.
- Cell — 10mm rod in 12.0mm tube × 55mm, 1 cell(s) parallel → C_eff = 1.44nF, bulk water R = 114783Ω.
- Water/electrodes (Randles) — 0.1ppm Na+ @ 5°C, surface ×0.5 → λ_D 228nm, C_dl 1.6µF, cell series R 10.9Ω, displacement current 99.0%, breakdown margin ×89.
- Fig-8 voltammetry (4,798,661) — τ_EDL 179917.2µs (17789.7 carrier cycles to charge), Faradaic leakage at peak 35.3mA (leak score 0.73 — keep amp leakage inhibited while voltage climbs the ladder).
- Vapor-film discharge (CGDE onset, 749V across 0.1mm film) — regime townsend-avalanche, film Paschen 719V, 299 Td.
- Per-molecule (series micro-capacitor chain) — 3.70M molecules across 1.00mm → 202.22 µV/molecule (polarization (µV band)).
- Chokes — 2 × 0.0009H (520 turns, AWG 22, 62m wire, AC R 4.3Ω each).
- At resonance f_r = 98.88kHz — Xl = 1118Ω, Xc = 1118Ω, tank Q = 57.6, coil Q = 131.3.
- Cell voltage 749V from 13V drive (×57.6). Tank current 0.67A circulating (CW upper bound — rate wire/switch for this); average input 20mA at 3% duty.
- No hard violations (band, wire length, dielectric). Average current is scored, not gated.
- Score 0.733.
Basis
- Confidence
- 0.70
- Method
- townsend-v5
- Recorded
- Published
- 30 Aug 2026
- Device
- Water Fuel Cell
- Component
- cell
- Source Ref
- design session v39
- Notebook Id
- 1614
design-loop Q resonance