Calculating Solar Energy at Earth's Distance from the Sun

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SUMMARY

The discussion focuses on deriving an expression to calculate the solar energy incident on Earth, given the Earth's radius (Re), the Sun's power output (4 x 10^26 watts), and the distance from the Earth to the Sun (1.5 x 10^11 meters). The key concept involves understanding that the solar energy radiates uniformly across the surface area of a sphere with a radius equal to the distance from the Sun. By calculating the surface area of this sphere, one can determine the power per square meter at Earth's distance from the Sun.

PREREQUISITES
  • Understanding of spherical geometry and surface area calculations
  • Basic knowledge of solar power output and energy distribution
  • Familiarity with the concept of radiative energy transfer
  • Mathematical skills to manipulate equations and derive expressions
NEXT STEPS
  • Learn how to calculate the surface area of a sphere
  • Study the concept of solar irradiance and its measurement
  • Explore the physics of radiative energy transfer
  • Investigate the impact of distance on solar energy intensity
USEFUL FOR

Students in physics or environmental science, solar energy researchers, and anyone interested in understanding solar energy calculations and their implications for Earth.

ldkz2524
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i have to come up with expression that governs the rate of solar energy incident upon the Earth with radius of Earth, Re, power output of Sun 4*10^26 and distance from Earth to Sun as 1.5*10^11. But i have no idea how to get the expression HELP
 
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The energy from the Sun is passing through the surface of a sphere of radius R, where R is the distance FROM the SUN.
If you know how to calculate the surface area of a sphere then you should be able to calculate the power per square metre at the Earth's distance from the Sun.
Hope this helps
 

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