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calculation · Voltage Intensifier Circuit · computed

VIC design session v112: best candidate (Q=86.0, 95.4kHz)

Sweep: Hold the AWG18 1mH/200T champ with a fine choke grid and walk peak_v down from bench-proven 120V to land the 470 Td film inside the 80-250 Td CGDE band via lower magnification input, low duty paired to keep average draw and leakage scored.

Cell: 12mm rod in 14.0mm tube × 50mm, 1 cell(s) parallel → C_eff = 1.55nF, bulk water R = 106752Ω. 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 ×19. Fig-8 voltammetry (4,798,661): τ_EDL 180201.1µs (17183.1 carrier cycles to charge), Faradaic leakage at peak 174.6mA (leak score 0.38 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 3441V across 0.1mm film): regime streamer, film Paschen 797V, 1372 Td — OUTSIDE the 80-250 Td cold window. Townsend α/γ: γ = 0.002 (electrode lever), criterion M = γ(e^{αd}−1) = 10369411057174145024.000 → self-sustaining (M≥1) — γ feedback closed, heading for thermalization. Per-molecule (series micro-capacitor chain): 3.70M molecules across 1.00mm → 929.02 µV/molecule (polarization (µV band)). Chokes: 2 × 0.0009H (190 turns, AWG 18, 23m wire, AC R 0.8Ω each). At resonance f_r = 95.36kHz: Xl = 1078Ω, Xc = 1078Ω, tank Q = 86.0, coil Q = 657.1. Cell voltage 3441V from 40V drive (×86.0). Tank current 3.19A circulating (CW upper bound — rate wire/switch for this); average input 64mA at 2% duty. No hard violations (band, wire length, dielectric). Average current is scored, not gated. Score 0.695.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Voltage Intensifier Circuit
Component
choke
Source Ref
design session v112
Notebook Id
1643

design-loop Q resonance