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Spectral black body emissive power Planck's law Formula

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Spectral Blackbody Emissive Power is the amount of radiation energy emitted by a blackbody at an absolute temperature per unit time, per unit surface area, and per unit wavelength. Check FAQs

E bλ = \frac{0.374177107 \cdot (10^{- 15})}{(λ^{5}) \cdot (e^{\frac{0.014387752}{λ \cdot T}} - 1)}

E_bλ - Spectral Blackbody Emissive Power?λ - Wavelength?λ - Wavelength?T - Temperature?

Spectral black body emissive power Planck's law Example

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Here is how the Spectral black body emissive power Planck's law equation looks like with Values.

Here is how the Spectral black body emissive power Planck's law equation looks like with Units.

Here is how the Spectral black body emissive power Planck's law equation looks like.

1.5E+33 = \frac{0.374177107 \cdot (10^{- 15})}{({2.1}^{5}) \cdot (e^{\frac{0.014387752}{26.8 \cdot 85}} - 1)}

1.5E+33W/m³ = \frac{0.374177107 \cdot (10^{- 15})}{({2.1nm}^{5}) \cdot (e^{\frac{0.014387752}{26.8m \cdot 85K}} - 1)}

1.5E+33 = \frac{0.374177107 \cdot (10^{- 15})}{({2.1}^{5}) \cdot (e^{\frac{0.014387752}{26.8 \cdot 85}} - 1)}

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Spectral black body emissive power Planck's law Solution

Follow our step by step solution on how to calculate Spectral black body emissive power Planck's law?

FIRST Step Consider the formula

E bλ = \frac{0.374177107 \cdot (10^{- 15})}{(λ^{5}) \cdot (e^{\frac{0.014387752}{λ \cdot T}} - 1)}

Next Step Substitute values of Variables

∴

E bλ = \frac{0.374177107 \cdot (10^{- 15})}{({2.1nm}^{5}) \cdot (e^{\frac{0.014387752}{26.8m \cdot 85K}} - 1)}

Next Step Convert Units

∴

E bλ = \frac{0.374177107 \cdot (10^{- 15})}{({2.1E-9m}^{5}) \cdot (e^{\frac{0.014387752}{26.8m \cdot 85K}} - 1)}

Next Step Prepare to Evaluate

∴

E bλ = \frac{0.374177107 \cdot (10^{- 15})}{({2.1E-9}^{5}) \cdot (e^{\frac{0.014387752}{26.8 \cdot 85}} - 1)}

Next Step Evaluate

∴

E bλ = 1.45057485234527E+33W/m³

LAST Step Rounding Answer

∴

E bλ = 1.5E+33W/m³

Spectral black body emissive power Planck's law Formula Elements

Variables

Spectral Blackbody Emissive Power

Spectral Blackbody Emissive Power is the amount of radiation energy emitted by a blackbody at an absolute temperature per unit time, per unit surface area, and per unit wavelength.

Symbol: E_bλ

Measurement: Emissive Power per Unit WavelengthUnit: W/m³

Note: Value should be greater than 0.

Formulas to find Spectral Blackbody Emissive Power

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength

Wavelength

Wavelength is the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

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

Other formulas in Heat Emission due to Radiation category

Go Black Bodies Heat Exchange by Radiation

q = ε \cdot [Stefan-BoltZ] \cdot A \cdot ({T 1}^{4} - {T 2}^{4})

Go Heat Exchange by Radiation due to Geometric Arrangement

q = ε \cdot A \cdot [Stefan-BoltZ] \cdot SF \cdot ({T 1}^{4} - {T 2}^{4})

Go Non Ideal Body Surface Emittance

e = ε \cdot [Stefan-BoltZ] \cdot {T w}^{4}

Go Radiation energy emitted by black body per unit time and surface area

q' = [Stefan-BoltZ] \cdot T^{4}

How to Evaluate Spectral black body emissive power Planck's law?

Spectral black body emissive power Planck's law evaluator uses Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)) to evaluate the Spectral Blackbody Emissive Power, Spectral black body emissive power Planck's law formula is defined as a measure of the energy emitted by a blackbody at a given wavelength and temperature, describing the distribution of energy in the electromagnetic spectrum. Spectral Blackbody Emissive Power is denoted by E_bλ symbol.

How to evaluate Spectral black body emissive power Planck's law using this online evaluator? To use this online evaluator for Spectral black body emissive power Planck's law, enter Wavelength (λ), Wavelength (λ) & Temperature (T) and hit the calculate button.

FAQs on Spectral black body emissive power Planck's law

What is the formula to find Spectral black body emissive power Planck's law?

The formula of Spectral black body emissive power Planck's law is expressed as Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)). Here is an example- 1.5E+33 = (0.374177107*(10^(-15)))/((2.1E-09^5)*(e^(0.014387752/(26.8*85))-1)).

How to calculate Spectral black body emissive power Planck's law?

With Wavelength (λ), Wavelength (λ) & Temperature (T) we can find Spectral black body emissive power Planck's law using the formula - Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)).

Can the Spectral black body emissive power Planck's law be negative?

No, the Spectral black body emissive power Planck's law, measured in Emissive Power per Unit Wavelength cannot be negative.

Which unit is used to measure Spectral black body emissive power Planck's law?

Spectral black body emissive power Planck's law is usually measured using the Watt per Cubic Meter[W/m³] for Emissive Power per Unit Wavelength. Watt per Square Meter per Kilometer[W/m³], Kilowatt per Square Meter per Kilometer[W/m³] are the few other units in which Spectral black body emissive power Planck's law can be measured.

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Spectral black body emissive power Planck's law Formula

Spectral black body emissive power Planck's law Example

Spectral black body emissive power Planck's law Solution

Spectral black body emissive power Planck's law Formula Elements

Other formulas in Heat Emission due to Radiation category

How to Evaluate Spectral black body emissive power Planck's law?

FAQs on Spectral black body emissive power Planck's law

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