Microstrip Impedance (IPC-2141)
embedcalc_microstrip_impedanceRead-onlyIdempotent
Calculate surface microstrip characteristic impedance Z0 from trace width, dielectric height, copper thickness, and dielectric constant. Use this tool for PCB impedance matching.
Instructions
Surface microstrip characteristic impedance: Z0 = (87/√(εr+1.41))·ln(5.98h/(0.8w+t)). Valid roughly for 0.1 < w/h < 2.0 and εr < 15.
Args (all in mm): trace_width_mm, dielectric_height_mm, trace_thickness_mm (1oz ≈ 0.035), er (FR-4 ≈ 4.2-4.6). Returns (structured): { z0_ohm }. Example: w=3.0, h=1.6, t=0.035, εr=4.5 -> ≈49 Ω.
Tool call template
Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.
{
"id": 1,
"jsonrpc": "2.0",
"method": "tools/call",
"params": {
"arguments": {
"trace_width_mm": "<trace_width_mm>",
"dielectric_height_mm": "<dielectric_height_mm>"
},
"name": "embedcalc_microstrip_impedance"
}
}Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| er | No | Dielectric constant (FR-4 ≈ 4.5) | |
| trace_width_mm | Yes | Trace width w in mm | |
| trace_thickness_mm | No | Copper thickness t in mm (1 oz = 0.035) | |
| dielectric_height_mm | Yes | Dielectric height h in mm |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| z0_ohm | Yes |