Dissipation Rate of a Propagating EM Wave

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To determine the source voltage of a lightning strike affecting a loop antenna, one must consider the induced voltage, which is linked to the rate of change of magnetic flux through the circuit. The lightning can be modeled as an instantaneous electric dipole current, generating a magnetic field pulse. The voltage induced in the antenna depends on the rate of change of the lightning current and the antenna's surface area and orientation relative to the dipole. Using the inverse square law (1/r^2) for linearity and inverse cube law (1/r^3) for point charges may not yield accurate results for this scenario. The appropriate unit notation for measuring induced voltage is typically in volts (V), while the field strength can be expressed in volts per meter (V/m).
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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