Stefan Boltzmann Calculator
stefan-boltzmann calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
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Formula: P = εσAT⁴
Worked example — 63.2 MW/m²
P = εσAT⁴
Total radiated power from a blackbody. σ = 5.670374419×10⁻⁸ W/(m²·K⁴).
Problem:ε=1, A=1 m², T=5778 K
Solution:P=5.67e-8×5778⁴=6.32×10⁷ W/m²
Result:63.2 MW/m²
The Stefan-Boltzmann law states that the total power radiated by an object is P = εσAT⁴, where ε is emissivity (0–1), σ = 5.670×10⁻⁸ W/(m²·K⁴) is the Stefan-Boltzmann constant, A is surface area, and T is absolute temperature in Kelvin.
Multiply emissivity × σ × area × temperature⁴: P = εσAT⁴. For a 1 m² blackbody (ε = 1) at 300 K (room temperature): P = 1 × 5.67×10⁻⁸ × 1 × 300⁴ = 459 W. Doubling T increases power by 2⁴ = 16 times.
Emissivity ε is dimensionless (0 to 1). Surface area A is in square metres (m²). Temperature T must be in Kelvin (K; K = °C + 273.15). Radiated power P is in Watts (W). The Stefan-Boltzmann constant σ = 5.670374419×10⁻⁸ W·m⁻²·K⁻⁴.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator · Editorial policy
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