Differential Z Approx

Approximate edge-coupled differential impedance as 2 x z0 x (1 - 0.48 x exp(-0.96 x s / h)).

Description

Approximate edge-coupled differential impedance as 2 x z0 x (1 - 0.48 x exp(-0.96 x s / h)).

Differential Z Approx: Approximate edge-coupled differential impedance as 2 x z0 x (1 - 0.48 x exp(-0.96 x s / h)).

When to use Differential Z Approx

Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Edge-to-edge gap (mm)
Required number input.
Substrate height (mm)
Required number input.
Single-ended impedance (Ω)
Required number input.

How Differential Z Approx works

Approximate edge-coupled differential impedance as 2 x z0 x (1 - 0.48 x exp(-0.96 x s / h)). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Differential impedance (Ω)
The resulting differential impedance returned as a number.

Limitations and assumptions

  • Closed-form transmission-line estimates assume a particular geometry, homogeneous or effective dielectric, conductor model, and frequency range. Fabrication tolerances, copper roughness, dispersion, solder mask, connectors, vias, and return-path discontinuities require field solving or measurement for precision work.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

References

  1. Transmission line — Wikipedia contributors

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