Determining the amplitude of an electric field from a broadcast satellite

AI Thread Summary
The discussion focuses on calculating the amplitude of the electric field vector from a geostationary satellite transmitting at 1 kW, located 35,000 km above Earth. The intensity of the electromagnetic radiation is determined using the formula I = Power/Area, with the area calculated based on the satellite's distance. Participants highlight the use of the equation E₀ = √(2μ₀cI) to derive the electric field amplitude in volts per meter. The challenge lies in progressing from the intensity calculation to the final electric field result. Accurate values for permittivity and the speed of light are provided for the calculations.
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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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