calculation · Water Fuel Cell · computed
WFC design session v32: best candidate (Q=22.3, 97.7kHz)
Sweep: Hunt the 80-250 Td window by dropping cell voltage (lower peak_v) at a moderate 3-5mm gap with normal 12-20mm rods that keep C_eff high enough to resonate near 45kHz, on the cold/pure/passivated Randles floor at low duty.
Cell: 18mm rod in 24.0mm tube × 160mm, 1 cell(s) parallel → C_eff = 2.65nF, bulk water R = 29254Ω. Water/electrodes (Randles): 0.5ppm Na+ @ 5°C, surface ×0.5 → λ_D 102nm, C_dl 19.2µF, cell series R 12.9Ω, displacement current 97.9%, breakdown margin ×244. Fig-8 voltammetry (4,798,661): τ_EDL 562467.3µs (54943.1 carrier cycles to charge), Faradaic leakage at peak 207.1mA (leak score 0.34 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 801V across 0.1mm film): regime townsend-avalanche, film Paschen 719V, 319 Td. Per-molecule (series micro-capacitor chain): 11.11M molecules across 3.00mm → 72.11 µV/molecule (polarization (µV band)). Chokes: 2 × 0.0005H (900 turns, AWG 22, 107m wire, AC R 7.3Ω each). At resonance f_r = 97.68kHz: Xl = 614Ω, Xc = 614Ω, tank Q = 22.3, coil Q = 41.8. Cell voltage 801V from 36V drive (×22.3). Tank current 1.31A circulating (CW upper bound — rate wire/switch for this); average input 26mA at 2% duty. No hard violations (band, wire length, dielectric). Average current is scored, not gated. Score 0.624.
Basis
- Confidence
- 0.70
- Method
- townsend-v5
- Recorded
- Published
- 30 Aug 2026
- Device
- Water Fuel Cell
- Component
- cell
- Source Ref
- design session v32
- Notebook Id
- 1592
design-loop Q resonance