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Intensity of radiation emitted by black body at absolute temperature Formula

GoIntensity of diffusely incident radiation given irradiation Formula

GoRadiation intensity given emissive power for diffusely emitting black body Formula

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The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface. Check FAQs

I i = \frac{[Stefan-BoltZ] \cdot (T^{4})}{π}

I_i - Intensity of Incident Radiation?T - Temperature?[Stefan-BoltZ] - Stefan-Boltzmann Constant?π - Archimedes' constant?

Intensity of radiation emitted by black body at absolute temperature Example

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Here is how the Intensity of radiation emitted by black body at absolute temperature equation looks like with Values.

Here is how the Intensity of radiation emitted by black body at absolute temperature equation looks like with Units.

Here is how the Intensity of radiation emitted by black body at absolute temperature equation looks like.

200 = \frac{5.7E-8 \cdot ({324.4458}^{4})}{3.1416}

200W/m²*sr = \frac{5.7E-8 \cdot ({324.4458K}^{4})}{3.1416}

200 = \frac{5.7E-8 \cdot ({324.4458}^{4})}{3.1416}

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Intensity of radiation emitted by black body at absolute temperature Solution

Follow our step by step solution on how to calculate Intensity of radiation emitted by black body at absolute temperature?

FIRST Step Consider the formula

I i = \frac{[Stefan-BoltZ] \cdot (T^{4})}{π}

Next Step Substitute values of Variables

∴

I i = \frac{[Stefan-BoltZ] \cdot ({324.4458K}^{4})}{π}

Next Step Substitute values of Constants

∴

I i = \frac{5.7E-8 \cdot ({324.4458K}^{4})}{3.1416}

Next Step Prepare to Evaluate

∴

I i = \frac{5.7E-8 \cdot ({324.4458}^{4})}{3.1416}

Next Step Evaluate

∴

I i = 199.999965984975W/m²*sr

LAST Step Rounding Answer

∴

I i = 200W/m²*sr

Intensity of radiation emitted by black body at absolute temperature Formula Elements

Variables

Constants

Intensity of Incident Radiation

The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface.

Symbol: I_i

Measurement: RadianceUnit: W/m²*sr

Note: Value should be greater than 0.

Formulas to find Intensity of Incident Radiation

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Stefan-Boltzmann Constant

Stefan-Boltzmann Constant relates the total energy radiated by a perfect black body to its temperature and is fundamental in understanding blackbody radiation and astrophysics.

Symbol: [Stefan-BoltZ]

Value: 5.670367E-8

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Intensity of Incident Radiation

Go Intensity of diffusely incident radiation given irradiation

I i = \frac{G}{π}

Go Radiation intensity given emissive power for diffusely emitting black body

I i = \frac{E b}{π}

Other formulas in Diffuse Radiation category

Go Temperature of diffusely emitting black body given radiation intensity

T = {(\frac{I i \cdot π}{[Stefan-BoltZ]})}^{0.25}

Go Radiosity given incident and reflected radiation

J = π \cdot (I r + I er)

Go Emissive Power given Radiation Intensity for Diffusely Emitting Surface

E power = I e \cdot π

Go Emissive power of diffusely emitted black body radiation given radiation intensity

E b = π \cdot I i

How to Evaluate Intensity of radiation emitted by black body at absolute temperature?

Intensity of radiation emitted by black body at absolute temperature evaluator uses Intensity of Incident Radiation = ([Stefan-BoltZ]*(Temperature^4))/pi to evaluate the Intensity of Incident Radiation, Intensity of radiation emitted by black body at absolute temperature formula is defined as a measure of the energy emitted per unit area per unit time by a black body at a specific absolute temperature, which is a fundamental concept in thermodynamics and radiation physics. Intensity of Incident Radiation is denoted by I_i symbol.

How to evaluate Intensity of radiation emitted by black body at absolute temperature using this online evaluator? To use this online evaluator for Intensity of radiation emitted by black body at absolute temperature, enter Temperature (T) and hit the calculate button.

FAQs on Intensity of radiation emitted by black body at absolute temperature

What is the formula to find Intensity of radiation emitted by black body at absolute temperature?

The formula of Intensity of radiation emitted by black body at absolute temperature is expressed as Intensity of Incident Radiation = ([Stefan-BoltZ]*(Temperature^4))/pi. Here is an example- 0.942187 = ([Stefan-BoltZ]*(324.4458^4))/pi.

How to calculate Intensity of radiation emitted by black body at absolute temperature?

With Temperature (T) we can find Intensity of radiation emitted by black body at absolute temperature using the formula - Intensity of Incident Radiation = ([Stefan-BoltZ]*(Temperature^4))/pi. This formula also uses Stefan-Boltzmann Constant, Archimedes' constant .

What are the other ways to Calculate Intensity of Incident Radiation?

Here are the different ways to Calculate Intensity of Incident Radiation-

Intensity of Incident Radiation=Irradiation/pi
Intensity of Incident Radiation=Emissive Power of Black Body/pi

Can the Intensity of radiation emitted by black body at absolute temperature be negative?

No, the Intensity of radiation emitted by black body at absolute temperature, measured in Radiance cannot be negative.

Which unit is used to measure Intensity of radiation emitted by black body at absolute temperature?

Intensity of radiation emitted by black body at absolute temperature is usually measured using the Watt per Square Meter Steradian[W/m²*sr] for Radiance. Watt per Square Meter Square Degree[W/m²*sr], Watt per Square Meter Spat[W/m²*sr] are the few other units in which Intensity of radiation emitted by black body at absolute temperature can be measured.

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