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Total solar irradiance or solar constant Formula

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

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

G_s - Total Solar Irradiance?r - Radius of the Sun?T_s - Effective Surface Temperature?L - Mean Distance between Sun and Planet?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Total solar irradiance or solar constant Example

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Here is how the Total solar irradiance or solar constant equation looks like with Values.

Here is how the Total solar irradiance or solar constant equation looks like with Units.

Here is how the Total solar irradiance or solar constant equation looks like.

1358.6563 = \frac{({7E+8}^{2}) \cdot 5.7E-8 \cdot (5780^{4})}{{1.5E+11}^{2}}

1358.6563W/m² = \frac{({7E+8m}^{2}) \cdot 5.7E-8 \cdot ({5780K}^{4})}{{1.5E+11m}^{2}}

1358.6563 = \frac{({7E+8}^{2}) \cdot 5.7E-8 \cdot (5780^{4})}{{1.5E+11}^{2}}

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Total solar irradiance or solar constant Solution

Follow our step by step solution on how to calculate Total solar irradiance or solar constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G s = \frac{({7E+8m}^{2}) \cdot [Stefan-BoltZ] \cdot ({5780K}^{4})}{{1.5E+11m}^{2}}

Next Step Substitute values of Constants

∴

G s = \frac{({7E+8m}^{2}) \cdot 5.7E-8 \cdot ({5780K}^{4})}{{1.5E+11m}^{2}}

Next Step Prepare to Evaluate

∴

G s = \frac{({7E+8}^{2}) \cdot 5.7E-8 \cdot (5780^{4})}{{1.5E+11}^{2}}

Next Step Evaluate

∴

G s = 1358.65631949202W/m²

LAST Step Rounding Answer

∴

G s = 1358.6563W/m²

Total solar irradiance or solar constant Formula Elements

Variables

Constants

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

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

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 Effective surface temperature of sun given solar constant

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

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 Total solar irradiance or solar constant?

Total solar irradiance or solar constant evaluator uses Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2) to evaluate the Total Solar Irradiance, Total solar irradiance or solar constant formula is defined as a measure of the amount of solar energy received per unit area at the top of the Earth's atmosphere, representing the rate at which the sun's energy is received on Earth, which is essential for understanding climate and weather patterns. Total Solar Irradiance is denoted by G_s symbol.

How to evaluate Total solar irradiance or solar constant using this online evaluator? To use this online evaluator for Total solar irradiance or solar constant, enter Radius of the Sun (r), Effective Surface Temperature (T_s) & Mean Distance between Sun and Planet (L) and hit the calculate button.

FAQs on Total solar irradiance or solar constant

What is the formula to find Total solar irradiance or solar constant?

The formula of Total solar irradiance or solar constant is expressed as Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2). Here is an example- 1358.656 = ((695000000^2)*[Stefan-BoltZ]*(5780^4))/(150000000000^2).

How to calculate Total solar irradiance or solar constant?

With Radius of the Sun (r), Effective Surface Temperature (T_s) & Mean Distance between Sun and Planet (L) we can find Total solar irradiance or solar constant using the formula - Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2). This formula also uses Stefan-Boltzmann Constant .

Can the Total solar irradiance or solar constant be negative?

No, the Total solar irradiance or solar constant, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Total solar irradiance or solar constant?

Total solar irradiance or solar constant is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Total solar irradiance or solar constant can be measured.

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Total solar irradiance or solar constant Formula

Total solar irradiance or solar constant Example

Total solar irradiance or solar constant Solution

Total solar irradiance or solar constant Formula Elements

Other formulas in Atmospheric and Solar Radiation category

How to Evaluate Total solar irradiance or solar constant?

FAQs on Total solar irradiance or solar constant

Variable Name