Total solar irradiance or solar constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2)
Gs = ((r^2)*[Stefan-BoltZ]*(Ts^4))/(L^2)
This formula uses 1 Constants, 4 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Total Solar Irradiance - (Measured in Watt per Square Meter) - 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.
Radius of the Sun - (Measured in Meter) - 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.
Effective Surface Temperature - (Measured in Kelvin) - The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere.
Mean Distance between Sun and Planet - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Radius of the Sun: 700000000 Meter --> 700000000 Meter No Conversion Required
Effective Surface Temperature: 5774.461 Kelvin --> 5774.461 Kelvin No Conversion Required
Mean Distance between Sun and Planet: 150000000000 Meter --> 150000000000 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gs = ((r^2)*[Stefan-BoltZ]*(Ts^4))/(L^2) --> ((700000000^2)*[Stefan-BoltZ]*(5774.461^4))/(150000000000^2)
Evaluating ... ...
Gs = 1373.00001000835
STEP 3: Convert Result to Output's Unit
1373.00001000835 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
1373.00001000835 1373 Watt per Square Meter <-- Total Solar Irradiance
(Calculation completed in 00.004 seconds)

Credits

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Atmospheric and Solar Radiation Calculators

Effective surface temperature of sun given solar constant
​ LaTeX ​ Go Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25
Radius of sun given total solar irradiance
​ LaTeX ​ Go Radius of the Sun = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/([Stefan-BoltZ]*(Effective Surface Temperature^4)))^0.5
Mean distance between sun or star and earth or planet
​ LaTeX ​ Go Mean Distance between Sun and Planet = (((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/Total Solar Irradiance)^0.5
Total solar irradiance or solar constant
​ LaTeX ​ Go Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2)

Total solar irradiance or solar constant Formula

​LaTeX ​Go
Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2)
Gs = ((r^2)*[Stefan-BoltZ]*(Ts^4))/(L^2)

What is total solar irradiance?

The total solar irradiance (also called the solar constant) represents the rate at which solar energy is incident on a surface normal to the sun’s rays at the outer edge of the atmosphere when the earth is at its mean distance from the sun.

How to Calculate Total solar irradiance or solar constant?

Total solar irradiance or solar constant calculator uses Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2) to calculate 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 Gs symbol.

How to calculate Total solar irradiance or solar constant using this online calculator? To use this online calculator for Total solar irradiance or solar constant, enter Radius of the Sun (r), Effective Surface Temperature (Ts) & Mean Distance between Sun and Planet (L) and hit the calculate button. Here is how the Total solar irradiance or solar constant calculation can be explained with given input values -> 1392.826 = ((700000000^2)*[Stefan-BoltZ]*(5774.461^4))/(150000000000^2).

FAQ

What is Total solar irradiance or solar constant?
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 and is represented as Gs = ((r^2)*[Stefan-BoltZ]*(Ts^4))/(L^2) or Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2). 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, The Effective Surface Temperature is the temperature of a surface that accounts for the effects of radiation and heat transfer in the atmosphere & 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.
How to calculate Total solar irradiance or solar constant?
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 is calculated using Total Solar Irradiance = ((Radius of the Sun^2)*[Stefan-BoltZ]*(Effective Surface Temperature^4))/(Mean Distance between Sun and Planet^2). To calculate Total solar irradiance or solar constant, you need Radius of the Sun (r), Effective Surface Temperature (Ts) & Mean Distance between Sun and Planet (L). With our tool, you need to enter the respective value for Radius of the Sun, Effective Surface Temperature & Mean Distance between Sun and Planet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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