The Blackbody Power Calculator estimates the total power radiated by a blackbody. A blackbody is an idealized object that absorbs all incident radiation and emits energy as thermal radiation. This calculator uses the Stefan-Boltzmann Law to determine the power radiated based on the blackbody's temperature and surface area.
Formula of Blackbody Power Calculator
To calculate the total power radiated by a blackbody, use the following formula:
Where:
- P = Total power radiated by the blackbody (W)
- σ = Stefan-Boltzmann constant, approximately 5.670374419 × 10^-8 W/m²K⁴
- T = Absolute temperature of the blackbody in Kelvin (K)
- A = Surface area of the blackbody in square meters (m²)
General Reference Table
Here is a table showing the total power radiated by a blackbody at various temperatures and surface areas for quick reference:
| Temperature (K) | Surface Area (m²) | Total Power Radiated (W) |
|---|---|---|
| 300 | 1 | 5.67 × 10^4 |
| 400 | 1 | 1.15 × 10^5 |
| 500 | 1 | 2.04 × 10^5 |
| 600 | 1 | 3.51 × 10^5 |
| 300 | 2 | 1.13 × 10^5 |
| 400 | 2 | 2.31 × 10^5 |
| 500 | 2 | 4.08 × 10^5 |
Example of Blackbody Power Calculator
Assume you have a blackbody with a temperature of 500 K and a surface area of 2 m². The total power radiated can be calculated as follows:
- T = 500 K
- A = 2 m²
- σ = 5.670374419 × 10^-8 W/m²K⁴
Apply the Formula:
P = 5.670374419 × 10^-8 * (500)^4 * 2
P ≈ 5.670374419 × 10^-8 * 6.25 × 10^8 * 2
≈ 7.08 × 10^2 W
Thus, the total power radiated by the blackbody is approximately 708 W.
Most Common FAQs
A blackbody is a theoretical object that absorbs all incoming radiation and re-emits energy as thermal radiation. It serves as an idealized model to understand radiative properties and energy emission.
The total power radiated by a blackbody increases with the fourth power of its temperature. Therefore, even small increases in temperature result in significant increases in the power radiated.
The calculator is specifically designed for ideal blackbodies. For real objects with different emissivity values, the calculation needs to be adjusted by multiplying the result by the emissivity factor of the material.