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calculation · Voltage Intensifier Circuit · computed

VIC design session v105: best candidate (Q=7.9, 99.8kHz)

Sweep: Push f_r into 55-75kHz with higher-L AWG24 chokes and drop peak_v to walk vapor-film Td down into the 80-250 cold-chemistry window, sweeping duty widely to break degeneracy and keep Faradaic leakage <10mA.

Cell: 12mm rod in 16.4mm tube × 100mm, 1 cell(s) parallel → C_eff = 1.41nF, bulk water R = 10206Ω. Water/electrodes (Randles): 2ppm Na+ @ 25°C, surface ×1 → λ_D 53nm, C_dl 28.6µF, cell series R 126.5Ω, displacement current 89.9%, breakdown margin ×167. Fig-8 voltammetry (4,798,661): τ_EDL 291402.2µs (29093.9 carrier cycles to charge), Faradaic leakage at peak 171.6mA (leak score 0.38 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 788V across 0.1mm film): regime townsend-avalanche, film Paschen 719V, 314 Td. Per-molecule (series micro-capacitor chain): 8.15M molecules across 2.20mm → 96.76 µV/molecule (polarization (µV band)). Chokes: 2 × 0.0009H (700 turns, AWG 24, 84m wire, AC R 8.4Ω each). At resonance f_r = 99.84kHz: Xl = 1129Ω, Xc = 1129Ω, tank Q = 7.9, coil Q = 67.5. Cell voltage 788V from 100V drive (×7.9). Tank current 0.70A circulating (CW upper bound — rate wire/switch for this); average input 14mA at 2% duty. No hard violations (band, wire length, dielectric). Average current is scored, not gated. Score 0.417.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Voltage Intensifier Circuit
Component
choke
Source Ref
design session v105
Notebook Id
1602

design-loop Q resonance