Calculating Electromagnetic Energy from Satellite Dish

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SUMMARY

The calculation of electromagnetic energy received by a satellite dish involves determining the area of the dish and using the intensity of the signal. Given a satellite dish radius of 0.36 m, the area is calculated as π times the radius squared, resulting in approximately 0.405 m². With a signal intensity of 0.9 pW/m², the total power input to the dish is 0.9 pW/m² multiplied by the area, yielding a power of approximately 0.3645 pW. Over a duration of 2.5 minutes, the total energy collected is calculated using the formula energy = power × time, resulting in an energy output of approximately 0.0545 picojoules (pj) or 0.000034 MeV.

PREREQUISITES
  • Understanding of electromagnetic signal intensity
  • Familiarity with the formula for the area of a circle
  • Basic knowledge of power and energy calculations
  • Ability to convert units of energy (picojoules to MeV)
NEXT STEPS
  • Study the principles of electromagnetic wave propagation
  • Learn about power calculations in electrical engineering
  • Explore unit conversions between picojoules and MeV
  • Investigate the design and efficiency of satellite dishes
USEFUL FOR

Students in physics or engineering, satellite communication engineers, and anyone involved in the design or analysis of satellite dishes and their energy collection capabilities.

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Homework Statement


A typical electromagnetic signal from a communications satellite might have an intensity of 0.9 pW/m2 at the surface of the Earth. Your satellite dish collects the energy of the electromagnetic signal from the satellite; then your dish passes that energy to its central receiver, where the signal can be processed by a circuit. The area of a satellite dish can be calculated from pi (3.1416) times the radius squared. If your satellite dish has a radius of 0.36 m, and if it is receiving the signal described above, how much electromagnetic energy is reflected to the central receiver in 2.5 minutes? Express in pj and MeV


Homework Equations





The Attempt at a Solution


I tried solving this but I am not sure what equation to use.
 
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How about energy=power*time?

Total power input = power of signal * area

sorry that I don't know the actual proper formulas, I'm just using common sense here.
 

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