A young radio amateur maintains radio contact with two girls living in different cities. He intends to design an antenna system that would allow him to talk to one of the girls (living in city B) with optimal communication quality, but in such a way that the second girl (living in city A) could not hear their conversation, and vice versa. The antenna system is assembled from two vertical antennas that radiate with equal intensity in all horizontal directions. Determine the distance r between the antennas, the angle ψ0 between the plane passing through both antennas and the direction to the north, and the phase difference Δph of the electrical signals emitted by the antennas. The distance between antennas should be minimal. Find a numerical solution if the young man has a radio station operating at a frequency of v=27 MHz. Note. Using the map, the young man found out that the angles between the direction to the north and the directions to cities A and B are ψ1=72° and ψ2=157°, respectively.
Detailed solution. Format jpg
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