The Satellite Solar Power Station project attempts to set up a large solar cell panel in a geostationary orbit at a distance 36,000 km above the surface of the Earth. The collected solar energy is then converted into microwave energy at 3 GHz with an overall eciency of 10%. This microwave energy is them beamed back to the Earth to be received and converted to the 60 Hz power with an eciency of 25%.
Suppose you are asked to design such a system which will provide 1010 watts at 60 Hz, the
anticipated power needs by New York in the year 2020. Suppose also the maximum power
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density in the vicinity of the receiving antenna on the ground, based on health considerations,
is 100 watts/m2. What must be the e?ective area of the receiving antenna on the ground, the
e?ective area of the transmitting antenna at the satellite, and the collecting area of the solar
panel? The sun provides a flux of 10 watts/m . Assume 100% aperture eciency for both
transmitting and receiving antennas (i.e., Aef f = Aphy ) and HPBW = / Aphy , assuming a square aperture for each antenna.