Determining the amplitude of an electric field from a broadcast satellite

In summary, a satellite in geostationary orbit transmits data via electromagnetic radiation at a height of 35,000 km above the earth's surface with an isotropic power output of 1 kW. The electric field vector of the broadcast can be calculated using the intensity formula and the given values for the permittivity of space and the speed of light.
  • #1
kmendonc
1
0

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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  • #2
If your Relevant Equations are to be believed, then

[itex] E_o = \sqrt{2 \mu_o c \; I} [/itex]

That would yield a result in Volts/meter.
 

Related to Determining the amplitude of an electric field from a broadcast satellite

1. How is the amplitude of an electric field from a broadcast satellite determined?

The amplitude of an electric field from a broadcast satellite can be determined by measuring the strength of the electric field at a certain distance from the satellite's transmitting antenna. This can be done using specialized equipment such as an electric field probe or by calculating the amplitude using the satellite's transmitting power and distance from the antenna.

2. What units are used to measure the amplitude of an electric field?

The amplitude of an electric field is typically measured in volts per meter (V/m). This unit represents the strength of the electric field at a certain point in space.

3. Can the amplitude of an electric field from a broadcast satellite vary?

Yes, the amplitude of an electric field from a broadcast satellite can vary depending on the transmitting power of the satellite, the distance from the transmitting antenna, and any interference or obstacles in the path of the electric field.

4. How does the amplitude of an electric field affect the quality of broadcast signals?

The amplitude of an electric field plays a crucial role in determining the strength and quality of broadcast signals. A higher amplitude generally results in a stronger and clearer signal, while a lower amplitude can lead to weaker and more distorted signals.

5. Are there any safety concerns related to high amplitudes of electric fields from broadcast satellites?

Yes, high amplitudes of electric fields from broadcast satellites can pose safety concerns for individuals who are in close proximity to the satellite's transmitting antenna. It is important to follow safety guidelines and regulations set by regulatory bodies to minimize exposure to high amplitude electric fields.

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