Calculating Energy Transported by an EM Wave with a 36.5 mV/m E Field

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SUMMARY

The discussion focuses on calculating the energy transported by an electromagnetic (EM) wave with an rms electric field strength of 36.5 mV/m across a 1.15 cm² area. The energy per unit volume is determined using the formula u = ε₀E², where ε₀ is the permittivity of free space. The calculated energy density is then multiplied by the area and the speed of light converted to meters per hour to find the total energy transported in joules per hour. This method effectively combines electromagnetic theory with practical calculations for energy transport.

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  • Understanding of electromagnetic wave properties
  • Familiarity with the concept of energy density (u = ε₀E²)
  • Knowledge of the speed of light in different units
  • Basic skills in unit conversion and dimensional analysis
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  • Study the derivation and applications of the energy density formula in electromagnetic theory
  • Learn about the speed of light and its significance in energy transport calculations
  • Explore the relationship between electric field strength and energy transport in EM waves
  • Investigate practical applications of EM wave energy calculations in telecommunications
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Homework Statement


How much energy is transported across a 1.15 cm2 area per hour by an EM wave whose E field has an rms strength of 36.5 mV/m?


Homework Equations


u (energy per unit volume) = [tex]\epsilon_0 E^2 \frac{J}{m^3}[/tex]

The Attempt at a Solution


Since I have u = 8.85*10-12*(36.5*10-3)2 J/(m^3). I multiply this by the given area (1.15 cm2) which gave me units of J/m. The only other thing that seems to make any sense that would get me to J/h would be to multiply by the speed of light in meters per hour.
 
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Hi Queue, that sounds reasonable to me - multiplying by the speed of light gives the power crossing the surface area. Transferring the speed to m/hr is equivalent to finding the power transfer in J/s, using m/s, then multiplying by 3600s to find the total energy trasnferred in an hour
 

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