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Electricity: Resistor Delta Temperature Coefficient Step Tool

Apply the local linear resistance temperature-coefficient approximation about a caller-established reference state, rejecting nonpositive predicted resistance; not a wide-range material model.

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Description

resistance = referenceResistance*factor; relativeChange = factor-1.

Electrical dissipation and temperature coefficients depend on operating conditions and component reference values. A calculated loss, local temperature factor or supplied-rating margin is only part of a thermal and reliability assessment.

resistance = referenceResistance*factor; relativeChange = factor-1.

When to use this tool

Use Electricity: Resistor Delta Temperature Coefficient Step when checking one supplied loss, temperature or power-margin term.

How to use the tool and how it works

  1. Enter referenceResistance, temperatureCoefficient, temperatureChange. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Require positive referenceResistance and positive factor 1+temperatureCoefficient*temperatureChange. resistance = referenceResistance*factor; relativeChange = factor-1.1

Input fieldMeaning and unitsAccepted input
referenceResistanceReference ResistanceRequired. Finite number.
temperatureCoefficientFractional resistance change per temperature unit, not ppm unless converted.Required. Finite number.
temperatureChangeTemperature ChangeRequired. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the named calculated members below.Required. Object.
result.resistanceElectrical resistance; use ohms with SI electrical inputs.Calculated result member: number.
result.relativeChangeRelative ChangeCalculated result member: number.
json
{
  "input": {
    "referenceResistance": 100,
    "temperatureCoefficient": 0.004,
    "temperatureChange": 25
  },
  "output": {
    "result": {
      "resistance": 110,
      "relativeChange": 0.1
    }
  }
}

Limitations and assumptions

  • Use fractional temperature coefficient rather than ppm unless converted. Self-heating, coefficient nonlinearity and operating limits are not modeled.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use manufacturer ratings, thermal paths, derating and transient conditions for a complete practical design.

References

  1. Calculation and input contract: electricity/resistor-delta-temperature-coefficient-step — tool.io

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