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Stefan Boltzmann Law Calculator - Online Calculator - Tutorpace

# Stefan Boltzmann Law Calculator

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Stefan Boltzmann law states that the total energy radiated from a blackbody per unit surface area and unit time is proportional to the 4th power of its absolute temperature. This law is also known as Fourth-power law.  P = σT4, where σ = Stefan Boltzmann constant and T = temperature, P = Power radiated. The value of the constant is σ = 5.670400 x 10 -8. Stefan boltzmann law calculator is used to find  the energy radiated by a blackbody radiator per second per unit area is proportional to the fourth power of the absolute temperature

This law helped to find the temperature of the sun, stars and Earth. This law also helped to find the radii of sun and stars.

P = σT4

Example 1:  Find Energy radiated by the blackbody if the temperature of the body is 300 K and constant = 5.67 x 10-8

According to the Stefan Boltzmann Law

P =σ T4

Replacing the values into this formula we can find the energy emitted

P = 5.67 x 10-8 (300)4

= 5.67 x 10-8 (81x108)

= 459.27

Example 2:  Given that the energy radiated by the blackbody is 90.72. Find the temperature of the body and constant = 5.67 x 10-8

According to the Stefan Boltzmann Law

P =σ T4

Replacing the values into this formula we can find the energy emitted

90.72 = 5.67 x 10-8 (T)4

T4 = 90.72/ 5.67 x 10-8

T = 4√16 x 10 8

T =  200 K