The Coplanar Waveguide (CPW) Transmission Line Sizer provides a rapid 3-parameter ratio calculation to compare relative impedance scale, signal root factor, and propagation efficiency for preliminary printed circuit layout planning.

In microwave and high-frequency RF printed circuit board design, coplanar waveguides route microwave signals adjacent to ground planes on the same substrate layer.

### Implementation Note & Calculation Method This tool uses a simplified 3-parameter parametric model rather than complete conformal mapping or elliptic integral RF wave equations. It does not compute absolute 50-ohm characteristic impedance (Z_0) or effective relative permittivity (eps_eff) using trace width W, gap spacing S, dielectric thickness H, and substrate dielectric constant eps_r. Instead, it evaluates comparative index scores from three user inputs: - Primary Dimension / Load (default 100) - Operating Coefficient (default 20) - Loss / Resistance Factor (default 5)

The component computes: - Characteristic Impedance Index = (Load × Operating Coefficient) / Loss Factor - Geometric Root Propagation Factor = sqrt(Load × Operating Coefficient) - Transmission Efficiency Rating (%) = [Load / (Load + Operating Coefficient)] × 100

### Worked Numeric Example Set Primary Dimension / Load = 100, Operating Coefficient = 20, and Loss Factor = 5: - Characteristic Impedance Index = (100 × 20) / 5 = 2,000 / 5 = 400.00 - Geometric Root Propagation Factor = sqrt(100 × 20) = sqrt(2,000) ≈ 44.72 - Transmission Efficiency Rating = [100 / (100 + 20)] × 100 = (100 / 120) × 100 ≈ 83.33%

### Processing and Privacy All calculations run client-side in your web browser. No RF layout parameters or dimensional values leave your device.