Effective surface temperature of sun given solar constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25
Ts = (((L^2)*Gs)/((r^2)*[Stefan-BoltZ]))^0.25
This formula uses 1 Constants, 4 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mean Distance between Sun and Planet: 150000000000 Meter --> 150000000000 Meter No Conversion Required
Total Solar Irradiance: 1373 Watt per Square Meter --> 1373 Watt per Square Meter No Conversion Required
Radius of the Sun: 695000000 Meter --> 695000000 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ts = (((L^2)*Gs)/((r^2)*[Stefan-BoltZ]))^0.25 --> (((150000000000^2)*1373)/((695000000^2)*[Stefan-BoltZ]))^0.25
Evaluating ... ...
Ts = 5795.19520695836
STEP 3: Convert Result to Output's Unit
5795.19520695836 Kelvin --> No Conversion Required
FINAL ANSWER
5795.19520695836 5795.195 Kelvin <-- Effective Surface Temperature
(Calculation completed in 00.008 seconds)

Credits

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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)

Effective surface temperature of sun given solar constant Formula

​LaTeX ​Go
Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25
Ts = (((L^2)*Gs)/((r^2)*[Stefan-BoltZ]))^0.25

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 Effective surface temperature of sun given solar constant?

Effective surface temperature of sun given solar constant calculator uses Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25 to calculate 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 calculate Effective surface temperature of sun given solar constant using this online calculator? To use this online calculator 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. Here is how the Effective surface temperature of sun given solar constant calculation can be explained with given input values -> 5795.195 = (((150000000000^2)*1373)/((695000000^2)*[Stefan-BoltZ]))^0.25.

FAQ

What is Effective surface temperature of sun given solar constant?
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 and is represented as Ts = (((L^2)*Gs)/((r^2)*[Stefan-BoltZ]))^0.25 or Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25. Mean distance between sun and planet is the mean distance between sun/star and earth/planet, Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere & Radius of the sun is the radius of the sun/star.
How to calculate Effective surface temperature of sun given solar constant?
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 is calculated using Effective Surface Temperature = (((Mean Distance between Sun and Planet^2)*Total Solar Irradiance)/((Radius of the Sun^2)*[Stefan-BoltZ]))^0.25. To calculate Effective surface temperature of sun given solar constant, you need Mean Distance between Sun and Planet (L), Total Solar Irradiance (Gs) & Radius of the Sun (r). With our tool, you need to enter the respective value for Mean Distance between Sun and Planet, Total Solar Irradiance & Radius of the Sun 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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