The Blackbody Energy Calculator is a tool used to determine the amount of energy radiated per unit area by a blackbody. A blackbody is an idealized physical object that absorbs all incident radiation and re-emits energy as thermal radiation. This calculator applies the Stefan-Boltzmann Law to compute the total energy radiated by a blackbody at a given temperature.

## Formula of Blackbody Energy Calculator

To calculate the energy radiated per unit area, use the following formula:

Where:

**E**= Energy radiated per unit area (W/m²)**σ**= Stefan-Boltzmann constant, approximately 5.670374419 × 10^-8 W/m²K⁴**T**= Absolute temperature of the blackbody in Kelvin (K)

## General Reference Table

For convenience, here is a table showing the energy radiated per unit area at various temperatures:

Temperature (K) | Energy Radiated per Unit Area (W/m²) |
---|---|

300 | 2.77 × 10^4 |

400 | 5.11 × 10^4 |

500 | 8.13 × 10^4 |

600 | 1.17 × 10^5 |

700 | 1.56 × 10^5 |

800 | 2.00 × 10^5 |

### Example of Blackbody Energy Calculator

If the temperature of the blackbody is 600 K, the energy radiated per unit area can be calculated as follows:

**T**= 600 K**σ**= 5.670374419 × 10^-8 W/m²K⁴

**Apply the Formula:**

**E = 5.670374419 × 10^-8 * (600)^4**

**E ≈ 5.670374419 × 10^-8 * 1.296 × 10^8**

** ≈ 7.36 × 10^1 W/m²**

Thus, the energy radiated per unit area is approximately 73.6 W/m².

## Most Common FAQs

**1. What is a blackbody in the context of this calculator?**A blackbody is an idealized object that absorbs all incoming radiation and re-emits energy as thermal radiation. It is used in theoretical physics to study radiation and energy transfer.

**2. How does temperature affect the energy radiated by a blackbody?**The energy radiated by a blackbody increases with the fourth power of its temperature. This means that even small increases in temperature result in large increases in the amount of energy radiated.

**3. Can this calculator be use for objects that are not blackbodies?**The calculator specifically applies to ideal blackbodies. For real objects, which are not perfect blackbodies, emissivity factors must be consider to accurately determine energy radiated.