A satellite in geostationary orbit is used to transmit data viaelectromagnetic radiation. The satellite is at a height of 35,000km above the surface of the earth, and we assume it has anisotropic power output of 1 kW (although, in practice, satelliteantennas transmit signals that are less powerful but moredirectional).
part A Reception devices pick up the variation in the electricfield vector of the electromagnetic wave sent out by the satellite.Given the satellite specifications listed in the problemintroduction, what is the amplitude of the electric field vector ofthe satellite broadcast as measured at the surface of the earth?Use for the permittivity of space and for the speed of light.
Express the amplitude of the electric field vector in microvoltsper meter to three significant figures.
E_0 =7.00
Correct
Imagine that the satellite described in the problem introduction isused to transmit television signals. You have a satellite TVreciever consisting of a circular dish of radius which focuses theelectromagnetic energy incident from the satellite onto a receiverwhich has a surface area of 5 .
How large does the radius of the dish have to be to achieve anelectric field vector amplitude of 0.1 at the receiver?
For simplicity, assume that your house is located directly beneaththe satellite (i.e. the situation you calculated in the firstpart), that the dish reflects all of the incident signal onto thereceiver, and that there are no losses associated with thereception process. The dish has a curvature, but the radius refersto the projection of the dish into the plane perpendicular to thedirection of the incoming signal.
Give your answer in centimeters, to two significant figures.