Spectral black body emissive power Planck's law Calculator

✖The Wavelength is the distance between successive peaks of a wave, which influences the energy and characteristics of radiation emitted by heat sources.ⓘ Wavelength [λ]			+10% -10%
✖The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, which affects heat emission due to radiation.ⓘ Temperature [T]			+10% -10%

✖The Spectral Blackbody Emissive Power is the amount of thermal radiation emitted by a perfect blackbody per unit wavelength at a given temperature.ⓘ Spectral black body emissive power Planck's law [E_bλ]

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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, 3 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Spectral Blackbody Emissive Power - (Measured in Watt per Cubic Meter) - The Spectral Blackbody Emissive Power is the amount of thermal radiation emitted by a perfect blackbody per unit wavelength at a given temperature.
Wavelength - (Measured in Meter) - The Wavelength is the distance between successive peaks of a wave, which influences the energy and characteristics of radiation emitted by heat sources.
Temperature - (Measured in Kelvin) - The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, which affects heat emission due to radiation.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Temperature: 89.4033 Kelvin --> 89.4033 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)))/((26.8^5)*(e^(0.014387752/(26.8*89.4033))-1))

Evaluating ... ...

E_bλ = 4.5071015049576E-18

STEP 3: Convert Result to Output's Unit

4.5071015049576E-18 Watt per Cubic Meter --> No Conversion Required

FINAL ANSWER

4.5071015049576E-18 ≈ 4.5E-18 Watt per Cubic Meter <-- Spectral Blackbody Emissive Power

(Calculation completed in 00.020 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

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

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Spectral black body emissive power Planck's law Formula

LaTeX Go

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, 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 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) & 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 -> 4.5E-18 = (0.374177107*(10^(-15)))/((26.8^5)*(e^(0.014387752/(26.8*89.4033))-1)).

FAQ

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

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 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)). The Wavelength is the distance between successive peaks of a wave, which influences the energy and characteristics of radiation emitted by heat sources & The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, which affects heat emission due to radiation.

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

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 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) & Temperature (T). With our tool, you need to enter the respective value for 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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