Transmission Sag for a PCB trace
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 PCB trace live below — adjust the inputs and watch it respond, right in your browser.
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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.
Data Inspector
Governing equation
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
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.
Data Inspector
Governing equation
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
More with Transmission Sag
Frequently asked questions
- Is this good for hobbyists & makers?
- Yes — this version of "Transmission Sag for a PCB trace" 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.