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Stefan-Boltzmann Law — result sheet
Calculate ideal thermal-radiation power from emissivity, radiating area, and absolute temperature.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Radiated power P = epsilon sigma A T^4, using sigma = 5.670374419e-8 W m^-2 K^-4. This is an ideal thermal-radiation relation only.
This calculator applies the ideal Stefan-Boltzmann thermal-radiation relation to emissivity, area, and absolute temperature. It returns watts and kilowatts and does not provide equipment or heat-safety advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Emissivity — ratio; Finite emissivity ratio from zero through one.; minimum 0; maximum 1
- Radiating area — m^2; Finite nonnegative radiating area in square metres.; minimum 0; maximum 1000000000
- Absolute temperature — K; Finite positive absolute temperature in kelvins.; minimum 0.1; maximum 10000
Worked example
| Input | Value |
|---|---|
| Emissivity | 0.9 |
| Radiating area | 2 |
| Absolute temperature | 300 |
Ideal emitted power is about 826.7 W, or 0.8267 kW.
Assumptions and limits
- Emissivity is a finite ratio from 0 through 1, area is a finite nonnegative radiating area in square metres, and temperature is a finite positive absolute temperature in kelvins.
- The surface is represented by one fixed emissivity and radiates as an idealized body to the relation's reference surroundings; view factors, absorbed irradiation, and net exchange are not modeled.
- This is an ideal thermal-radiation relation only. Equipment selection, heat transfer, operating conditions, and heat-safety advice are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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