50 Ω trace width calculator

Trace width for a target impedance, from your actual stack-up. Change any input and the result updates.

Geometry
Single-ended. 90 Ω or 100 Ω are the usual differential targets.
Prepreg or core thickness between the trace and its reference plane.
Use your laminate datasheet, not a generic FR-4 figure.

Trace width

mm

mil

Effective εr
Width / height ratio

A starting number, not a manufacturing instruction. Send the stack-up to your fabricator and let their field solver set the final width.

The formulas

These are the IPC-2141 closed-form approximations. They are shown so you can check the result rather than trust it.

Microstrip

Z₀ = 87 / √(εr + 1.41) · ln( 5.98·h / (0.8·w + t) )

Stripline

Z₀ = 60 / √(εr) · ln( 1.9·b / (0.8·w + t) )

where b is the plate-to-plate separation, taken as 2·h.

Differential

Z_diff ≈ 2·Z₀ · (1 − 0.48·e^(−0.96·s/h))   (microstrip)
Z_diff ≈ 2·Z₀ · (1 − 0.347·e^(−2.9·s/h))  (stripline)

The calculator solves these numerically for w, so the differential result accounts for the coupling between the traces rather than just doubling a single-ended width.

Where this stops being accurate

  • Solder mask lowers microstrip impedance by roughly 1–2 Ω. Not modelled here.
  • Copper roughness matters above a few GHz and is not modelled.
  • Glass-weave skew affects tight differential pairs on coarse weaves.
  • Frequency-dependent εr — FR-4 permittivity falls with frequency.
  • Etch factor — the finished trace is trapezoidal, not rectangular.

For controlled-impedance production the fabricator runs a 2D field solver on the real stack-up and adjusts the width to hit your target, usually to ±10%. That conversation is the one that matters; this calculator just gets you to it with a sensible starting point.

Related: PCB design services · RF and connectivity · bend radius calculator

Stack-up not settled yet?

Impedance you assumed is not impedance you have. Send us the layer count, the interfaces and your fabricator, and we'll tell you what the stack-up needs to be.