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Grounded CPW Line Calculator

Grounded CPW Line Calculator

Estimate grounded coplanar waveguide impedance, effective dielectric constant, propagation delay, wavelength, and electrical length from signal width, gap, dielectric constant, and substrate height.

Input Parameters

Use material data at the operating frequency when available.
Distance from top copper to the lower reference ground plane.
Width of the CPW center signal trace.
Lateral gap from signal trace to coplanar ground.
Used for delay and electrical length.
Used for wavelength and electrical length.

Results

Characteristic Impedance
23.6051 Ω
Effective Dielectric Constant
2.6
Propagation Velocity
1.85923 x10^8 m/s
Propagation Delay
537.856 ps
Guided Wavelength
185.923 mm
Electrical Length
193.628 deg
Design Note
Low impedance / narrow gap or wide conductor

For RF layouts, combine this estimate with controlled stackup data and via-stitching rules.

Equations Used

CPW Geometry:

k = a / b, where a = W/2 and b = W/2 + gap.

Grounded Correction:

A second conformal-mapping term is added for the lower reference ground plane.

Characteristic Impedance:

Z0 is estimated from elliptic integral ratios and effective dielectric constant.

Propagation Velocity:

v = c / sqrt(εeff)

Electrical Length:

Electrical length = 360 deg × frequency × delay

Frequently Asked Questions (FAQ)

Q1: What is grounded CPW?
Grounded coplanar waveguide uses a center signal trace, adjacent top-layer ground pours, and a lower reference ground plane.

Q2: Why does gap matter so much?
A smaller gap increases capacitance and usually lowers impedance.

Q3: Is CPW more accurate than microstrip for RF?
CPW can provide better ground access and controlled return current, but it still requires stackup-specific verification.

Q4: Does via stitching matter?
Yes. Ground via spacing strongly affects real CPW performance, especially at RF and microwave frequencies.

Q5: Can this replace a field solver?
No. It is a quasi-static estimate for early design checks.

Q6: What target impedance is common?
50 ohms is common for RF feed lines, but the target depends on the system.

Disclaimer: This calculator uses a quasi-static GCPW approximation. Real impedance depends on solder mask, copper thickness, via fences, ground clearance, dielectric dispersion, copper roughness, and manufacturing tolerance. Verify final RF layouts with a field solver or PCB manufacturer data.
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