Effective surface temperature of sun given solar constant Formula

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The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere. Check FAQs
Ts=((L2)Gs(r2)[Stefan-BoltZ])0.25
Ts - Effective Surface Temperature?L - Mean Distance between Sun and Planet?Gs - Total Solar Irradiance?r - Radius of the Sun?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Effective surface temperature of sun given solar constant Example

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Here is how the Effective surface temperature of sun given solar constant equation looks like with Values.

Here is how the Effective surface temperature of sun given solar constant equation looks like with Units.

Here is how the Effective surface temperature of sun given solar constant equation looks like.

5774.461Edit=((1.5E+11Edit2)1373Edit(7E+8Edit2)5.7E-8)0.25
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Effective surface temperature of sun given solar constant Solution

Follow our step by step solution on how to calculate Effective surface temperature of sun given solar constant?

FIRST Step Consider the formula
Ts=((L2)Gs(r2)[Stefan-BoltZ])0.25
Next Step Substitute values of Variables
Ts=((1.5E+11m2)1373W/m²(7E+8m2)[Stefan-BoltZ])0.25
Next Step Substitute values of Constants
Ts=((1.5E+11m2)1373W/m²(7E+8m2)5.7E-8)0.25
Next Step Prepare to Evaluate
Ts=((1.5E+112)1373(7E+82)5.7E-8)0.25
Next Step Evaluate
Ts=5774.46098947691K
LAST Step Rounding Answer
Ts=5774.461K

Effective surface temperature of sun given solar constant Formula Elements

Variables
Constants
Effective Surface Temperature
The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere.
Symbol: Ts
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Mean Distance between Sun and Planet
The Mean Distance between Sun and Planet is the average space separating a planet from the Sun, influencing solar radiation and climate conditions on the planet.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Total Solar Irradiance
The Total Solar Irradiance is the total amount of solar energy received per unit area at the top of the Earth's atmosphere, influencing climate and weather patterns.
Symbol: Gs
Measurement: Heat Flux DensityUnit: W/m²
Note: Value should be greater than 0.
Radius of the Sun
The Radius of the Sun is the distance from the center of the Sun to its surface, playing a crucial role in understanding solar radiation and its effects on the solar system.
Symbol: r
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Atmospheric and Solar Radiation category

​Go Total solar irradiance or solar constant
Gs=(r2)[Stefan-BoltZ](Ts4)L2
​Go Mean distance between sun or star and earth or planet
L=((r2)[Stefan-BoltZ](Ts4)Gs)0.5
​Go Radius of sun given total solar irradiance
r=((L2)Gs[Stefan-BoltZ](Ts4))0.5
​Go Total solar energy incident on unit area of horizontal surface on ground
Gsolar=GDcos(i)+GD

How to Evaluate Effective surface temperature of sun given solar constant?

Effective surface temperature of sun given solar constant evaluator uses Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25 to evaluate the Effective Surface Temperature, Effective surface temperature of sun given solar constant formula is defined as a measure of the temperature at the surface of the sun, which is a critical parameter in understanding the sun's energy output and its impact on the Earth's climate, and is used to study the sun's internal structure and its effects on the solar system. Effective Surface Temperature is denoted by Ts symbol.

How to evaluate Effective surface temperature of sun given solar constant using this online evaluator? To use this online evaluator for Effective surface temperature of sun given solar constant, enter Mean Distance between Sun and Planet (L), Total Solar Irradiance (Gs) & Radius of the Sun (r) and hit the calculate button.

FAQs on Effective surface temperature of sun given solar constant

What is the formula to find Effective surface temperature of sun given solar constant?
The formula of Effective surface temperature of sun given solar constant is expressed as Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25. Here is an example- 5774.461 = (((150000000000^2)*1373)/((700000000^2)*[Stefan-BoltZ]))^0.25.
How to calculate Effective surface temperature of sun given solar constant?
With Mean Distance between Sun and Planet (L), Total Solar Irradiance (Gs) & Radius of the Sun (r) we can find Effective surface temperature of sun given solar constant using the formula - Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25. This formula also uses Stefan-Boltzmann Constant .
Can the Effective surface temperature of sun given solar constant be negative?
No, the Effective surface temperature of sun given solar constant, measured in Temperature cannot be negative.
Which unit is used to measure Effective surface temperature of sun given solar constant?
Effective surface temperature of sun given solar constant is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Effective surface temperature of sun given solar constant can be measured.
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