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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