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Effective surface temperature of sun given solar constant Formula

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Effective surface temperature is the surface temperature of the sun/star. Check FAQs

T s = {(\frac{(L^{2}) \cdot G s}{(r^{2}) \cdot [Stefan-BoltZ]})}^{0.25}

T_s - Effective Surface Temperature?L - Mean Distance between Sun and Planet?G_s - 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.

5795.1952 = {(\frac{({1.5E+11}^{2}) \cdot 1373}{({7E+8}^{2}) \cdot 5.7E-8})}^{0.25}

5795.1952K = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{({7E+8m}^{2}) \cdot 5.7E-8})}^{0.25}

5795.1952 = {(\frac{({1.5E+11}^{2}) \cdot 1373}{({7E+8}^{2}) \cdot 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

T s = {(\frac{(L^{2}) \cdot G s}{(r^{2}) \cdot [Stefan-BoltZ]})}^{0.25}

Next Step Substitute values of Variables

∴

T s = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{({7E+8m}^{2}) \cdot [Stefan-BoltZ]})}^{0.25}

Next Step Substitute values of Constants

∴

T s = {(\frac{({1.5E+11m}^{2}) \cdot 1373W/m²}{({7E+8m}^{2}) \cdot 5.7E-8})}^{0.25}

Next Step Prepare to Evaluate

∴

T s = {(\frac{({1.5E+11}^{2}) \cdot 1373}{({7E+8}^{2}) \cdot 5.7E-8})}^{0.25}

Next Step Evaluate

∴

T s = 5795.19520695836K

LAST Step Rounding Answer

∴

T s = 5795.1952K

Effective surface temperature of sun given solar constant Formula Elements

Variables

Constants

Effective Surface Temperature

Effective surface temperature is the surface temperature of the sun/star.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Effective Surface Temperature

Mean Distance between Sun and Planet

Mean distance between sun and planet is the mean distance between sun/star and earth/planet.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Distance between Sun and Planet

Total Solar Irradiance

Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.

Symbol: G_s

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Total Solar Irradiance

Radius of the Sun

Radius of the sun is the radius of the sun/star.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of the Sun

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

G s = \frac{(r^{2}) \cdot [Stefan-BoltZ] \cdot ({T s}^{4})}{L^{2}}

Go Mean distance between sun or star and earth or planet

L = {(\frac{(r^{2}) \cdot [Stefan-BoltZ] \cdot ({T s}^{4})}{G s})}^{0.5}

Go Radius of sun given total solar irradiance

r = {(\frac{(L^{2}) \cdot G s}{[Stefan-BoltZ] \cdot ({T s}^{4})})}^{0.5}

Go Total solar energy incident on unit area of horizontal surface on ground

G solar = G D \cdot \cos (i) + G d

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 T_s 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 (G_s) & 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- 5795.195 = (((150000000000^2)*1373)/((695000000^2)*[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 (G_s) & 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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Effective surface temperature of sun given solar constant Formula

Effective surface temperature of sun given solar constant Example

Effective surface temperature of sun given solar constant Solution

Effective surface temperature of sun given solar constant Formula Elements

Other formulas in Atmospheric and Solar Radiation category

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

FAQs on Effective surface temperature of sun given solar constant

Variable Name