Calculating EM Radiation from a Star 13 Million Light-Years Away

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SUMMARY

The discussion focuses on calculating the electromagnetic (EM) radiation emitted by a star located 13 million light-years from Earth, with an intensity of 6 x 10-21 W/m2 reaching our planet. To determine the total EM energy radiated by the star, one must convert the distance from light-years to meters (1.23 x 1017 m) and apply the formula for the surface area of a sphere, which is 4πr2. The correct approach involves using the square of the distance rather than multiplying by 2, as the surface area is derived from the radius squared.

PREREQUISITES
  • Understanding of electromagnetic radiation concepts
  • Familiarity with the formula for the surface area of a sphere (4πr2)
  • Ability to convert light-years to meters
  • Basic knowledge of intensity and its units (W/m2)
NEXT STEPS
  • Learn about the relationship between intensity and total power output in astrophysics
  • Study the concept of luminosity and its calculation for stars
  • Explore the implications of distance on light intensity and radiation
  • Investigate the methods for measuring astronomical distances and their units
USEFUL FOR

Astronomy students, astrophysicists, educators in physics, and anyone interested in understanding the principles of electromagnetic radiation from celestial bodies.

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Homework Statement



A certain star is 13 million light-years from Earth. The intensity of the light that reaches Earth from the star is 6 10-21 W/m2. At what rate does the star radiate EM energy?


Homework Equations



i know you have to convert lightyears to m. (1.23e17m) multiply this by 2 and multiply again by 4pi. Do you just multiply that answer by the intensity to get the answer?

The Attempt at a Solution

 
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Almost. You're correct except for the "multiply this by 2" part. Instead of multiplying by 2, you need the square of the distance to the star. (A sphere's surface area is 4πr2, not 2r·4π)
 
Thanks!
 

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