calculation · Water Fuel Cell · computed
WFC design session v38: best candidate (Q=55.4, 94.7kHz)
Sweep — Hunt V_cell~700-900V (Paschen knee, 80-250 Td) by hard-trimming peak_v LOW with purer/colder water to hold high R_ct (low leakage) rather than dumping Q with rough/warm water — the un-run corner: land the film in-window while keeping Faradaic leakage <10mA.
- Cell — 10mm rod in 12.0mm tube × 60mm, 1 cell(s) parallel → C_eff = 1.57nF, bulk water R = 105218Ω.
- Water/electrodes (Randles) — 0.1ppm Na+ @ 5°C, surface ×0.5 → λ_D 228nm, C_dl 1.7µF, cell series R 10.9Ω, displacement current 99.0%, breakdown margin ×75.
- Fig-8 voltammetry (4,798,661) — τ_EDL 179917.2µs (17032.3 carrier cycles to charge), Faradaic leakage at peak 45.6mA (leak score 0.67 — keep amp leakage inhibited while voltage climbs the ladder).
- Vapor-film discharge (CGDE onset, 886V across 0.1mm film) — regime townsend-avalanche, film Paschen 719V, 353 Td.
- Per-molecule (series micro-capacitor chain) — 3.70M molecules across 1.00mm → 239.31 µV/molecule (polarization (µV band)).
- Chokes — 2 × 0.0009H (520 turns, AWG 22, 62m wire, AC R 4.2Ω each).
- At resonance f_r = 94.67kHz — Xl = 1071Ω, Xc = 1071Ω, tank Q = 55.4, coil Q = 127.0.
- Cell voltage 886V from 16V drive (×55.4). Tank current 0.83A circulating (CW upper bound — rate wire/switch for this); average input 41mA at 5% duty.
- No hard violations (band, wire length, dielectric). Average current is scored, not gated.
- Score 0.723.
Basis
- Confidence
- 0.70
- Method
- townsend-v5
- Recorded
- Published
- 30 Aug 2026
- Device
- Water Fuel Cell
- Component
- cell
- Source Ref
- design session v38
- Notebook Id
- 1612
design-loop Q resonance