PPolySim OS
For Hobbyists & Makers · Transmission Sag

Transmission Sag for a capacitor bank

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a capacitor bank live below — adjust the inputs and watch it respond, right in your browser.

1

Thermal Expansion

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Thermal ExpansionLive

Controls

Presets

Heat a material and it expands: ΔL = α·L·ΔT, where α is the coefficient of linear expansion. Area grows at twice that rate and volume at three times. It is why bridges have expansion joints, why rails buckle in heat, and why Invar — with almost zero expansion — is prized for precision instruments.

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Data Inspector

α23 µm/m·°C
Length change11.5 mm
Area change0.230 m²
Volume change3.450 m³

Governing equation

Reading this result: Heating 10 m of Aluminum by 50°C stretches it about 11.5 mm; area and volume grow 2× and 3× as fast.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

2

Transmission Line

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Transmission Line & VSWRLive

Controls

Presets

When a transmission line meets a load that does not match its impedance, part of the wave reflects. Incident and reflected waves combine into a standing-wave pattern measured by the VSWR. A perfect match (RL = Z₀, XL = 0) gives VSWR 1 and no reflection — the goal of every antenna and RF design.

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Data Inspector

Reflection |Γ|0.200
VSWR1.50 : 1
Return loss14.0 dB
Matchpoor

Governing equation

Reading this result: A large resistive mismatch reflects much of the wave, giving a high VSWR and deep nulls in the standing-wave pattern.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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More with Transmission Sag

Frequently asked questions

Is this good for hobbyists & makers?
Yes — this version of "Transmission Sag for a capacitor bank" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.