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Stefan's Law Calculator

Formula

The formula to calculate the total radiation energy emitted per unit surface area of a black body according to Stefan's Law is:

$E = \sigma \times T^4$

Where:

$E$ is the total radiation energy emitted per unit surface area of a black body in unit time (W/m²)
$\sigma$ is the Stefan-Boltzmann constant (5.67 × 10^-8 W/m²K⁴)
$T$ is the thermodynamic temperature of the black body (K)

What is Stefan's Law?

Stefan's Law, also known as the Stefan-Boltzmann Law, states that the total radiation energy emitted per unit surface area of a black body in unit time is directly proportional to the fourth power of the black body’s thermodynamic temperature. This principle is used in physics to determine the amount of energy radiated by a black body.

Example Calculation

Let's assume the temperature of a black body is 300 K.

Using Stefan's Law, the radiation energy emitted is calculated as:

$E = 5.67 \times 10^{-8} \times 300^4 \approx 459.27 \text{ W/m²}$

The total radiation energy emitted is approximately 459.27 W/m².