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) - Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.
Radius of the sun - (Measured in Meter) - Radius of the sun is the radius of the sun/star.
Effective surface temperature - (Measured in Kelvin) - Effective surface temperature is the surface temperature of the sun/star.
Mean distance between sun and planet - (Measured in Meter) - Mean distance between sun and planet is the mean distance between sun/star and earth/planet.
STEP 1: Convert Input(s) to Base Unit
Radius of the sun: 695000000 Meter --> 695000000 Meter No Conversion Required
Effective surface temperature: 5780 Kelvin --> 5780 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) --> ((695000000^2)*[Stefan-BoltZ]*(5780^4))/(150000000000^2)
Evaluating ... ...
Gs = 1358.65631949202
STEP 3: Convert Result to Output's Unit
1358.65631949202 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
1358.65631949202 1358.656 Watt per Square Meter <-- Total solar irradiance
(Calculation completed in 00.004 seconds)

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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6 Atmospheric and Solar Radiation Calculators

Effective surface temperature of sun given solar constant
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
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
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
Go Total solar irradiance = ((Radius of the sun^2)*[Stefan-BoltZ]*(Effective surface temperature^4))/(Mean distance between sun and planet^2)
Total solar energy incident on unit area of horizontal surface on ground
Go Total solar energy = Direct solar radiation*cos(Angle of Incidence)+Diffuse solar radiation
Diffuse solar radiation given total solar energy and direct radiation
Go Diffuse solar radiation = Total solar energy-Direct solar radiation*cos(Angle of Incidence)

Total solar irradiance or solar constant Formula

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, The Total solar irradiance or solar constant formula is defined as the total solar energy reaching the earth's surface in terms of the radius of the sun/star and mean distance between sun and earth/planet, and surface temperature of the sun. 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 -> 1358.656 = ((695000000^2)*[Stefan-BoltZ]*(5780^4))/(150000000000^2).

FAQ

What is Total solar irradiance or solar constant?
The Total solar irradiance or solar constant formula is defined as the total solar energy reaching the earth's surface in terms of the radius of the sun/star and mean distance between sun and earth/planet, and surface temperature of the sun 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). Radius of the sun is the radius of the sun/star, Effective surface temperature is the surface temperature of the sun/star & Mean distance between sun and planet is the mean distance between sun/star and earth/planet.
How to calculate Total solar irradiance or solar constant?
The Total solar irradiance or solar constant formula is defined as the total solar energy reaching the earth's surface in terms of the radius of the sun/star and mean distance between sun and earth/planet, and surface temperature of the sun 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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