Effective surface temperature of sun given solar constant Calculator

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Atmospheric and Solar Radiation

Absorptivity, Reflectivity and Transmissivity

Diffuse Radiation

Interchange Factor between Surfaces

Kirchhoff's Law

✖Mean distance between sun and planet is the mean distance between sun/star and earth/planet.ⓘ Mean distance between sun and planet [L]			+10% -10%
✖Total solar irradiance or solar constant is the solar energy reaching the earth’s/planet's atmosphere.ⓘ Total solar irradiance [G_s]			+10% -10%
✖Radius of the sun is the radius of the sun/star.ⓘ Radius of the sun [r]			+10% -10%

✖Effective surface temperature is the surface temperature of the sun/star.ⓘ Effective surface temperature of sun given solar constant [T_s]

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Formula

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Effective surface temperature of sun given solar constant

Formula

`"T"_{"s"} = ((("L"^2)*"G"_{"s"})/(("r"^2)*"[Stefan-BoltZ]"))^0.25`

Example

`"5795.195K"=(((("1.5e11m")^2)*"1373W/m²")/((("0.695E9m")^2)*"[Stefan-BoltZ]"))^0.25`

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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
T_s = (((L^2)*G_s)/((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

T_s = (((L^2)*G_s)/((r^2)*[Stefan-BoltZ]))^0.25 --> (((150000000000^2)*1373)/((695000000^2)*[Stefan-BoltZ]))^0.25

Evaluating ... ...

T_s = 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 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

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)

Effective surface temperature of sun given solar constant Formula

Effective surface temperature = (((Mean distance between sun and planet^2)*Total solar irradiance)/((Radius of the sun^2)*[Stefan-BoltZ]))^0.25
T_s = (((L^2)*G_s)/((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, The Effective surface temperature of sun given solar constant formula is defined as the effective surface temperature of the sun/star when the total solar irradiance on a planet, mean distance between sun and planet and radius of the sun are known. Effective surface temperature is denoted by T_s 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 (G_s) & 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?

The Effective surface temperature of sun given solar constant formula is defined as the effective surface temperature of the sun/star when the total solar irradiance on a planet, mean distance between sun and planet and radius of the sun are known and is represented as T_s = (((L^2)*G_s)/((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?

The Effective surface temperature of sun given solar constant formula is defined as the effective surface temperature of the sun/star when the total solar irradiance on a planet, mean distance between sun and planet and radius of the sun are known 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 (G_s) & 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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