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Total Emissive Power of Radiating Body Formula

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Emissive Power per Unit Area is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. Check FAQs

E b = (ε \cdot {(T e)}^{4}) \cdot [Stefan-BoltZ]

E_b - Emissive Power per Unit Area?ε - Emissivity?T_e - Effective Radiating Temperature?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Total Emissive Power of Radiating Body Example

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Here is how the Total Emissive Power of Radiating Body equation looks like with Values.

Here is how the Total Emissive Power of Radiating Body equation looks like with Units.

Here is how the Total Emissive Power of Radiating Body equation looks like.

2.812 = (0.95 \cdot {(85)}^{4}) \cdot 5.7E-8

2.812W = (0.95 \cdot {(85K)}^{4}) \cdot 5.7E-8

2.812 = (0.95 \cdot {(85)}^{4}) \cdot 5.7E-8

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Total Emissive Power of Radiating Body Solution

Follow our step by step solution on how to calculate Total Emissive Power of Radiating Body?

FIRST Step Consider the formula

E b = (ε \cdot {(T e)}^{4}) \cdot [Stefan-BoltZ]

Next Step Substitute values of Variables

∴

E b = (0.95 \cdot {(85K)}^{4}) \cdot [Stefan-BoltZ]

Next Step Substitute values of Constants

∴

E b = (0.95 \cdot {(85K)}^{4}) \cdot 5.7E-8

Next Step Prepare to Evaluate

∴

E b = (0.95 \cdot {(85)}^{4}) \cdot 5.7E-8

Next Step Evaluate

∴

E b = 2.81196866310406W

LAST Step Rounding Answer

∴

E b = 2.812W

Total Emissive Power of Radiating Body Formula Elements

Variables

Constants

Emissive Power per Unit Area

Emissive Power per Unit Area is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.

Symbol: E_b

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Emissive Power per Unit Area

Emissivity

Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Emissivity

Effective Radiating Temperature

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

Symbol: T_e

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Effective Radiating 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

Other formulas in Basics of Modes of Heat Transfer category

Go Heat Transfer through Plane Wall or Surface

q = - k 1 \cdot A c \cdot \frac{t o - t i}{w}

Go Radial Heat Flowing through Cylinder

Q = k 1 \cdot 2 \cdot π \cdot ΔT \cdot \frac{l}{\ln (\frac{r outer}{r inner})}

Go Radiative Heat Transfer

Q = [Stefan-BoltZ] \cdot SA Body \cdot F \cdot ({T 1}^{4} - {T 2}^{4})

Go Thermal Diffusivity

α = \frac{K cond}{ρ \cdot C o}

How to Evaluate Total Emissive Power of Radiating Body?

Total Emissive Power of Radiating Body evaluator uses Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ] to evaluate the Emissive Power per Unit Area, The Total Emissive Power of Radiating Body is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy. In the SI system, it has units watts per square meter (W/m2). Emissive Power per Unit Area is denoted by E_b symbol.

How to evaluate Total Emissive Power of Radiating Body using this online evaluator? To use this online evaluator for Total Emissive Power of Radiating Body, enter Emissivity (ε) & Effective Radiating Temperature (T_e) and hit the calculate button.

FAQs on Total Emissive Power of Radiating Body

What is the formula to find Total Emissive Power of Radiating Body?

The formula of Total Emissive Power of Radiating Body is expressed as Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]. Here is an example- 2.811969 = (0.95*(85)^4)*[Stefan-BoltZ].

How to calculate Total Emissive Power of Radiating Body?

With Emissivity (ε) & Effective Radiating Temperature (T_e) we can find Total Emissive Power of Radiating Body using the formula - Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]. This formula also uses Stefan-Boltzmann Constant .

Can the Total Emissive Power of Radiating Body be negative?

No, the Total Emissive Power of Radiating Body, measured in Power cannot be negative.

Which unit is used to measure Total Emissive Power of Radiating Body?

Total Emissive Power of Radiating Body is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Total Emissive Power of Radiating Body can be measured.

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