CPW Impedance Approx

Approximate coplanar waveguide impedance as (60 / sqrt(er_eff)) x ln(4 x a / b) with a = w/2 + gap and b = w/2; er_eff defaults to 4.

Description

Approximate coplanar waveguide impedance as (60 / sqrt(er_eff)) x ln(4 x a / b) with a = w/2 + gap and b = w/2; er_eff defaults to 4.

CPW Impedance Approx: Approximate coplanar waveguide impedance as (60 / sqrt(er_eff)) x ln(4 x a / b) with a = w/2 + gap and b = w/2; er_eff defaults to 4.

When to use CPW Impedance 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.

Effective permittivity
Optional number input.
Trace-to-ground gap (mm)
Required number input.
Trace width (mm)
Required number input.

How CPW Impedance Approx works

Approximate coplanar waveguide impedance as (60 / sqrt(er_eff)) x ln(4 x a / b) with a = w/2 + gap and b = w/2; er_eff defaults to 4. 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

CPW impedance (Ω)
The resulting cpw 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

Similar or alternative tools

  • Stripline Z Approx

    Approximate symmetric stripline impedance as (60 / sqrt(er)) x ln(4 x h / (0.67 x pi x (0.8 x w + t))).

  • Microstrip Z Approx

    Approximate microstrip characteristic impedance as (87 / sqrt(er + 1.41)) x ln(5.98 x h / (0.8 x w + t)).

  • Differential Z Approx

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

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