Spectral black body emissive power Planck's law Calculator

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✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+10% -10%
✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖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.ⓘ Spectral black body emissive power Planck's law [E_bλ]

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Spectral black body emissive power Planck's law

Formula

`"E"_{"bλ"} = (0.374177107*(10^(-15)))/(("λ"^5)*(e^(0.014387752/("λ"*"T"))-1))`

Example

`"1.5E^33W/m³"=(0.374177107*(10^(-15)))/((("2.1nm")^5)*(e^(0.014387752/("26.8m"*"85K"))-1))`

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Spectral black body emissive power Planck's law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1))
E_bλ = (0.374177107*(10^(-15)))/((λ^5)*(e^(0.014387752/(λ*T))-1))
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Spectral Blackbody Emissive Power - (Measured in Watt per Cubic Meter) - 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.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_bλ = (0.374177107*(10^(-15)))/((λ^5)*(e^(0.014387752/(λ*T))-1)) --> (0.374177107*(10^(-15)))/((2.1E-09^5)*(e^(0.014387752/(26.8*85))-1))

Evaluating ... ...

E_bλ = 1.45057485234527E+33

STEP 3: Convert Result to Output's Unit

1.45057485234527E+33 Watt per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.45057485234527E+33 ≈ 1.5E+33 Watt per Cubic Meter <-- Spectral Blackbody Emissive Power

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

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< 8 Radiation Calculators

Thermal Resistance of black body surface due to radiation

Go Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended))

Temperature of black body to emit certain amount of radiation energy

Go Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25

Spectral black body emissive power Planck's law

Go Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1))

Surface Area of Black Body required to Emit certain amount of Radiation Energy

Go Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time interval or time period)

Time required to emit specified amount of radiation energy from black body

Go Time interval or time period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area)

Radiation energy emitted by black body in time interval given temperature

Go Energy = [Stefan-BoltZ]*Temperature^4*Total Surface Area*Time interval or time period

Radiation energy emitted by black body in time interval given emissive power

Go Energy = Emissive Power of Black Body*Surface Area*Time Interval from the Peak

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

Go Heat Flux = [Stefan-BoltZ]*Temperature^4

Spectral black body emissive power Planck's law Formula

Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1))
E_bλ = (0.374177107*(10^(-15)))/((λ^5)*(e^(0.014387752/(λ*T))-1))

What is Planck's law?

The relation for the spectral blackbody emissive power Eb was developed by Max Planck in 1901 in conjunction with his famous quantum theory. This relation is known as Planck’s law

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

Spectral black body emissive power Planck's law calculator uses Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)) to calculate the Spectral Blackbody Emissive Power, The Spectral black body emissive power Planck's law formula is defined as the amount of radiation energy emitted by a blackbody at an absolute temperature T per unit time, per unit surface area, and per unit wavelength. Spectral Blackbody Emissive Power is denoted by E_bλ symbol.

How to calculate Spectral black body emissive power Planck's law using this online calculator? To use this online calculator for Spectral black body emissive power Planck's law, enter Wavelength (λ), Wavelength (λ) & Temperature (T) and hit the calculate button. Here is how the Spectral black body emissive power Planck's law calculation can be explained with given input values -> 1.5E+33 = (0.374177107*(10^(-15)))/((2.1E-09^5)*(e^(0.014387752/(26.8*85))-1)).

FAQ

What is Spectral black body emissive power Planck's law?

The Spectral black body emissive power Planck's law formula is defined as the amount of radiation energy emitted by a blackbody at an absolute temperature T per unit time, per unit surface area, and per unit wavelength and is represented as E_bλ = (0.374177107*(10^(-15)))/((λ^5)*(e^(0.014387752/(λ*T))-1)) or Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)). Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire, Wavelength can be defined as the distance between two successive crests or troughs of a wave & Temperature is the degree or intensity of heat present in a substance or object.

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

The Spectral black body emissive power Planck's law formula is defined as the amount of radiation energy emitted by a blackbody at an absolute temperature T per unit time, per unit surface area, and per unit wavelength is calculated using Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1)). To calculate Spectral black body emissive power Planck's law, you need Wavelength (λ), Wavelength (λ) & Temperature (T). With our tool, you need to enter the respective value for Wavelength, Wavelength & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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