Stefan Boltzmann Law Calculator is a handy, flexible and free tool that helps to determine the power radiated from a body at a high temperature. You just need to provide inputs such as the surface area, temperature, material type and emissivity to get the radiated power easily.
Stefan Boltzmann Law Calculator: Are you looking curiously everywhere to get the radiated power of a body? If yes, you have reached the correct page that gives answers to all your questions regarding the Stefan Boltzmann Law. You will find information about the law, thermal radiation law, steps to calculate the power, etc.
Get the step by step process to calculate the power radiation.
Stefan Boltzmann Law states that the power radiated from a black body is directly proportional to its temperature raised to the fourth power.
The thermal radiation formula is
P = σ ε A T⁴
P is the power of the body's temperature
σ is the Stefan Boltzmann constant and its value is 5.670367 x 10-8
ε is the emissivity
A is the surface area of the body
T is the body temperature
Question: A black body emitts of 0.1 and its area is 200 m² at 500 K. Find at what rate does it radiate the energy?
Temperature T = 500 K
Surface area A = 200 m²
Emittivity ε = 0.1
Radiated energy P = σ ε A T⁴
P = 5.670367 x 10-8 x 0.1 x 200 x (500)
= 113.40734 x 625
= 7.08 x 104 W
Therefore, the radiated energy is 7.08 x 104 W.
Physicscalc.Com has got concepts like hydrogen enegy level, photon energy, fermi level, compton wavelength, and many more along with their relevant calculators all one under one roof.
1. Define Stefan Boltzmann Law?
Stefan Boltzmann law states that the amount of radiation energy emitted per unit time from an area of a black body at absolute temperature is directly proportional to the fourth power of the temperature.
2. What is the value of Stefan Boltzmann constant?
Stefan Boltzmann constant value is approximately 5.67 x 10-8 W/m²K4
3. A body emissivity (e = 0.75), the surface area of 300 cm2 and temperature is 227°C are kept in a room at temperature 27°C. Calculate the initial value of net power emitted by the body using the Stephens Boltzmann law.
Emmissivity e = 075
surface area A = 300 cm² = 3 x 10-2 m²
Power P = σ ε A T⁴
= 0.75 x 5.67 x 10-8 x 3 x 10-2 x [(500)4 - (300)4]
= 69.4 Watts
4. What is the relationship between the Stefan-Boltzmann law and Wien's law?
Wine's law tells the relationship between the wavelength of maximum intensity a blackbody emits and its temperature. While the Stefan Boltzmann law tells that the energy radiated from a blackbody is proportional to the fourth power of its temperature.