Stefan–Boltzmann Law Calculator
🔥 Heat & thermodynamics. Use the Stefan–Boltzmann law formula to find power radiated, surface area, temperature: pick the value you want, type the others, and the answer updates as you go.
σ = 5.67 × 10⁻⁸ W m⁻² K⁻⁴. The power radiated by a black body.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Power radiated | W |
| Surface area | m² |
| Temperature | K |
Worked example
Find the power radiated when Surface area = 1 m², Temperature = 300 K.
Using P = σ A T⁴: Power radiated = 459.3 W.
Frequently asked questions
What is the formula for Stefan–Boltzmann law?
P = σ A T⁴. σ = 5.67 × 10⁻⁸ W m⁻² K⁻⁴. The power radiated by a black body.
What do the letters stand for, and what units are used?
Power radiated in W, Surface area in m², Temperature in K.
How do you calculate power radiated?
Put the values into P = σ A T⁴. For example, with Surface area = 1 m², Temperature = 300 K, power radiated = 459.3 W.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (power radiated, surface area, temperature) and fill in the others: it rearranges the formula for you.
