Blackbody Power Calculator

Formula

The formula to calculate the power radiated by a blackbody (P) is:

\[ P = \sigma \cdot A \cdot T^4 \]

Where:

\( P \) is the power radiated by the blackbody (W)
\( \sigma \) is the Stefan-Boltzmann constant (approximately \( 5.67 \times 10^{-8} \, \text{W/m}^2\text{K}^4 \))
\( A \) is the area of the blackbody (m²)
\( T \) is the temperature of the blackbody (K)

What is a Blackbody?

A blackbody is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It emits radiation in a characteristic, continuous spectrum that depends only on the body’s temperature, known as blackbody radiation. This concept is fundamental in the field of thermodynamics and quantum mechanics, providing a model for understanding the emission of radiation by real objects.

Example Calculation

Let's assume the following values:

Area (A) = 1 m²
Temperature (T) = 300 K

Using the formula to calculate the power radiated by the blackbody:

\[ P = 5.67 \times 10^{-8} \times 1 \times 300^4 \]

The power radiated by the blackbody is approximately 459.27 W.