Pcb Trace Inductance Per Length Calculator

Restricted straight isolated rectangular trace partial inductance PER LENGTH approximation, not loop/return-plane inductance or micro strip field solver; long trace L≥10(w+t). Actual matched units/topology and independently established parameters; not a safe device/electrical design or verified manufacturer rating.

Description

A trace partial inductance per length depends on a stated isolated long-conductor approximation.

A trace partial inductance per length depends on a stated isolated long-conductor approximation.1

This tool evaluates that relation without modeling a return plane or an actual microstrip field.

When to use Pcb Trace Inductance Per Length Calculator

Use this tool to evaluate that relation without modeling a return plane or an actual microstrip field.

How to use Pcb Trace Inductance Per Length Calculator and how it works

  1. Prepare actualTraceLengthMeters, actualWidthMeters, actualThicknessMeters, with the units, conventions and assumptions below.
  2. Enter the required fields and run Pcb Trace Inductance Per Length Calculator.
  3. Read result.value using the output definitions below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualTraceLengthMetersActual Trace Length Meters. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
actualWidthMetersActual Width Meters. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
actualThicknessMetersActual Thickness Meters. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Supply positive trace length, width and thickness in meters and require length>=10*(width+thickness). Return 2e-7*(ln(2*length/(width+thickness))+0.5+(width+thickness)/(3*length)) in henries per meter. This is a partial inductance per length, not total trace or transmission-line loop inductance.

inductancePerMeter=2e-7*(ln(2*L/(w+t))+0.5+(w+t)/(3*L))

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valuePartial trace inductance per length in henries per meter.number
json
{
  "input": {
    "actualTraceLengthMeters": 1,
    "actualWidthMeters": 0.01,
    "actualThicknessMeters": 0.01
  },
  "output": {
    "result": {
      "value": 1.0223673705309518e-06
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Pcb Via Inductance Calculator for a complementary operation: An isolated via partial-inductance estimate omits its return-path coupling.

Use Esd Machine Model Current Calculator for a complementary operation: A lossless LC discharge gives an ideal first current peak from charging voltage, capacitance and inductance.

References

  1. Pcb Trace Inductance Per Length Calculator — tool.io

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