Dissipation Rate of a Propagating EM Wave

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SUMMARY

The discussion centers on calculating the source voltage of a lightning strike using a loop antenna. The user, uawildcat2008, seeks to understand how to relate the induced voltage of 2 volts at the antenna to the lightning's voltage, which occurs 20 km away. The response clarifies that the voltage is determined by the rate of change of magnetic flux through the circuit, modeled as an instantaneous electric dipole current. It emphasizes that the measurement from the antenna cannot yield additional information beyond this rate of change.

PREREQUISITES
  • Understanding of Faraday's Law of Induction
  • Knowledge of electromagnetic wave propagation
  • Familiarity with electric dipole modeling
  • Basic concepts of magnetic flux and its measurement
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  • Research the mathematical modeling of electric dipoles in electromagnetic fields
  • Study the principles of electromagnetic wave propagation and attenuation
  • Learn about the relationship between induced voltage and magnetic flux changes
  • Explore practical applications of loop antennas in measuring electromagnetic fields
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Electromagnetic engineers, physicists, and hobbyists working with antennas and lightning detection systems will benefit from this discussion.

uawildcat2008
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Hello,

I have a loop antenna I have been messing around with for a few years and I understand most of the physics behind it, especially with regards to Faraday's Law of Induction; however, I'm trying to work backwards now to determine a source voltage at a distance. For example, if a propagating EM wave comes in contact with my antenna in the horizontal creating 2 volts of induced charge while a lightning strike occurs, say, 20 km away in the vertical, how do I determine the lightning's voltage? Do I simply use 1/r^2 for linearity and 1/r^3 for point charge determinations or another equation? Also, what would be the proper unit notation - V/m or V/km or something completely different?

Many Thanks,
- uawildcat2008
 
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The voltage in your circuit is equal to the rate of change of magnetic flux through the circuit, the lightning can be modeled as an instantaneous electric dipole current, which creates a pulse of magnetic field. So what you can determine is the rate of change of the lightning current, if you know the surface area of your circuit and its orientation relative to the dipole current. I don't think you can determine anything else from your measurement.
 

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