Spectral Radiant Emittance Formula

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Spectral Radiant Emittance is the power radiated from a blackbody per unit area and is given by W. Check FAQs
Wsre=2π[hP][c]3λvis51exp([hP][c]λvis[BoltZ]T)-1
Wsre - Spectral Radiant Emittance?λvis - Wavelength of Visible Light?T - Absolute Temperature?[hP] - Planck constant?[c] - Light speed in vacuum?[hP] - Planck constant?[c] - Light speed in vacuum?[BoltZ] - Boltzmann constant?π - Archimedes' constant?

Spectral Radiant Emittance Example

With values
With units
Only example

Here is how the Spectral Radiant Emittance equation looks like with Values.

Here is how the Spectral Radiant Emittance equation looks like with Units.

Here is how the Spectral Radiant Emittance equation looks like.

5.7E-8Edit=23.14166.6E-343E+83500Edit51exp(6.6E-343E+8500Edit1.4E-23393Edit)-1
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Spectral Radiant Emittance Solution

Follow our step by step solution on how to calculate Spectral Radiant Emittance?

FIRST Step Consider the formula
Wsre=2π[hP][c]3λvis51exp([hP][c]λvis[BoltZ]T)-1
Next Step Substitute values of Variables
Wsre=2π[hP][c]3500nm51exp([hP][c]500nm[BoltZ]393K)-1
Next Step Substitute values of Constants
Wsre=23.14166.6E-343E+8m/s3500nm51exp(6.6E-343E+8m/s500nm1.4E-23J/K393K)-1
Next Step Convert Units
Wsre=23.14166.6E-343E+8m/s35E-7m51exp(6.6E-343E+8m/s5E-7m1.4E-23J/K393K)-1
Next Step Prepare to Evaluate
Wsre=23.14166.6E-343E+835E-751exp(6.6E-343E+85E-71.4E-23393)-1
Next Step Evaluate
Wsre=5.70045847765288E-08W/(m²*Hz)
LAST Step Rounding Answer
Wsre=5.7E-8W/(m²*Hz)

Spectral Radiant Emittance Formula Elements

Variables
Constants
Functions
Spectral Radiant Emittance
Spectral Radiant Emittance is the power radiated from a blackbody per unit area and is given by W.
Symbol: Wsre
Measurement: Spectral Exitance Per Unit FrequencyUnit: W/(m²*Hz)
Note: Value can be positive or negative.
Wavelength of Visible Light
Wavelength of Visible Light is the band of wavelengths in the range 400nm - 800nm of the electromagnetic spectrum that is visible to the human eye.
Symbol: λvis
Measurement: LengthUnit: nm
Note: Value should be between 399 to 801.
Absolute Temperature
Absolute Temperature represents the temperature of the system.
Symbol: T
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Planck constant
Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.
Symbol: [hP]
Value: 6.626070040E-34
Light speed in vacuum
Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.
Symbol: [c]
Value: 299792458.0 m/s
Planck constant
Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.
Symbol: [hP]
Value: 6.626070040E-34
Light speed in vacuum
Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.
Symbol: [c]
Value: 299792458.0 m/s
Boltzmann constant
Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.
Symbol: [BoltZ]
Value: 1.38064852E-23 J/K
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
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other formulas in Photonics Devices category

​Go Optical Power Radiated
Popt=εopto[Stefan-BoltZ]AsTo4
​Go Net Phase Shift
ΔΦ=πλo(nri)3rVcc
​Go Length of Cavity
Lc=λm2
​Go Mode Number
m=2Lcnriλ

How to Evaluate Spectral Radiant Emittance?

Spectral Radiant Emittance evaluator uses Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1) to evaluate the Spectral Radiant Emittance, The Spectral Radiant Emittance formula is defined as the power radiated by the by the back body per unit area. Emittance is also known as Exitance. Spectral Radiant Emittance is denoted by Wsre symbol.

How to evaluate Spectral Radiant Emittance using this online evaluator? To use this online evaluator for Spectral Radiant Emittance, enter Wavelength of Visible Light vis) & Absolute Temperature (T) and hit the calculate button.

FAQs on Spectral Radiant Emittance

What is the formula to find Spectral Radiant Emittance?
The formula of Spectral Radiant Emittance is expressed as Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1). Here is an example- 5.7E-8 = (2*pi*[hP]*[c]^3)/5E-07^5*1/(exp(([hP]*[c])/(5E-07*[BoltZ]*393))-1).
How to calculate Spectral Radiant Emittance?
With Wavelength of Visible Light vis) & Absolute Temperature (T) we can find Spectral Radiant Emittance using the formula - Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1). This formula also uses Planck constant, Light speed in vacuum, Planck constant, Light speed in vacuum, Boltzmann constant, Archimedes' constant and Exponential Growth (exp) function(s).
Can the Spectral Radiant Emittance be negative?
Yes, the Spectral Radiant Emittance, measured in Spectral Exitance Per Unit Frequency can be negative.
Which unit is used to measure Spectral Radiant Emittance?
Spectral Radiant Emittance is usually measured using the Watt per Square Meter per Hertz[W/(m²*Hz)] for Spectral Exitance Per Unit Frequency. are the few other units in which Spectral Radiant Emittance can be measured.
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