Determining the amplitude of an electric field from a broadcast satellite

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SUMMARY

The discussion focuses on calculating the amplitude of the electric field vector from a geostationary satellite broadcasting at a height of 35,000 km with an isotropic power output of 1 kW. The intensity of the electromagnetic wave is derived using the formula Intensity = Power/Area, leading to I = 1x10^3 W / (4∏(3.5x10^4)^2). The amplitude of the electric field vector is then calculated using the equation E(sub_0) = √(2μ0cI), where μ0 is the permeability of free space and c is the speed of light. The final result is expressed in Volts per meter.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with the concepts of intensity and power in physics
  • Knowledge of the equations for electric field amplitude
  • Basic grasp of satellite communication principles
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  • Study the derivation of electromagnetic wave intensity formulas
  • Learn about the properties of isotropic antennas
  • Explore the relationship between electric field amplitude and intensity in electromagnetic waves
  • Investigate the practical applications of satellite communication technology
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Students in physics, engineers working with satellite communications, and professionals involved in electromagnetic field analysis will benefit from this discussion.

kmendonc
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Homework Statement



A satellite in geostationary orbit is used to transmit data via electromagnetic radiation. The satellite is at a height of 35,000 km above the surface of the earth, and we assume it has an isotropic power output of 1 kW (although, in practice, satellite antennas transmit signals that are less powerful but more directional).

Reception devices pick up the variation in the electric field vector of the electromagnetic wave sent out by the satellite. Given the satellite specifications listed in the problem introduction, what is the amplitude of the electric field vector of the satellite broadcast as measured at the surface of the earth? Use for the permittivity of space ε = 8.85x10^-12 C/(Vm) and c = 3x10^8 for the speed of light


Homework Equations



Intensity = Power/Area
E(sub_0) = root(2μ0cI)

The Attempt at a Solution



I = 1x10^3 W / (4∏(3.5x10^4)^2

I don't know where to go once I've figured the intensity...Please and thanks!
 
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If your Relevant Equations are to be believed, then

E_o = \sqrt{2 \mu_o c \; I}

That would yield a result in Volts/meter.
 

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