Transmission line input impedance
tline_input_impedanceCalculate input impedance of a lossy or lossless terminated transmission line from electrical/physical length, load, and line parameters, plus reflection coefficients and voltage max/min locations.
Instructions
Input impedance of a (lossy or lossless) transmission line terminated in a load: Zin = Z0·(ZL + Z0·tanh γℓ)/(Z0 + ZL·tanh γℓ). Length can be electrical (λ, degrees) or physical (mm, m, mil) with eps_eff / velocity_factor. Also returns Γ at load and input, electrical/physical length, guided wavelength, and the distances from the load to the first voltage maximum and minimum. Use for coax/microstrip/λ/4/λ/2 line questions and 'where is the voltage minimum?' problems.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| z0 | No | System reference impedance used for Γ / VSWR at the input. Default 50. | |
| load | No | Load impedance ZL in Ω (use 'open' via a huge value or give load_gamma). | |
| length | Yes | Length: electrical ('0.25λ', '0.125 lambda', '90deg') or physical ('12.5mm', '3 cm', '500mil'). Bare numbers are meters. | |
| eps_eff | No | Effective permittivity (default 1). | |
| line_z0 | No | Characteristic impedance of the line (default = z0). | |
| language | No | Language of the human-readable summary: 'en' (English) or 'tr' (Türkçe). Defaults to the server setting. | |
| frequency | No | Required for physical lengths, loss and for converting to physical length. | |
| load_type | No | Shortcut for open- or short-circuit loads. | |
| load_gamma | No | Alternatively the load reflection coefficient (relative to line_z0). | |
| loss_db_per_m | No | Attenuation in dB/m (needs a physical frequency). | |
| velocity_factor | No | Velocity factor; overrides eps_eff. |