Physics

Stefan Boltzmann Law Calculator

Find the power radiated per area by a blackbody.

Calculated Output

Radiated power per area (W/m²) 56,703.74

Formula: j = ε·σ·T⁴

Step-by-Step Breakdown

1. Values used:

2. Temperature = 1,000 K

3. Emissivity = 1

5. Radiated power per area = 56,703.74W/m²

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The math behind it

j = ε·σ·T⁴, where σ = 5.67 × 10⁻⁸ W/(m²·K⁴) and ε is emissivity (1 for a blackbody).

1000 K blackbody → about 56,700 W/m².

Why T⁴?

Radiated power rises with the fourth power of temperature, so hot objects glow intensely.