problem_4 - 1 1.1 ASTRONOMY 822: Electromagnetic Radiation...

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ASTRONOMY 822: Electromagnetic Ra- diation 1.1 Problem Set 4: due Wednesday, October 26 1) Commercial radio stations often broadcast their programs using 2 to 12 dipole antennas arranged in long rows: a) Why do they use this arrangement, rather than a single, higher amplitude dipole? (Hint: this arrangement of dipoles is called a “directional antenna”.) b) I have been granted permission to broadcast radio programs to the town of Mozartville at a frequency ν = 1 . 0 MHz. However, I am forbidden to send my signal to the town of Bachberg, only 10 kilometers away (there’s a competing radio station there, broadcasting at the same frequency). After buying 4 identical dipole antennas, I will have enough money left to buy a plot of land 3 kilometers from the center of Mozartville. Where should I place my antennas, and how should I orient them? (My structural engineer, by the way, demands that the dipoles be placed in an exactly vertical direction.) c) If my 4 dipoles are oscillating in phase, how far apart should I place them to minimize the power that I broadcast to Bachberg? [Continued on back]
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This note was uploaded on 07/17/2008 for the course ASTRO 822 taught by Professor Ryden during the Fall '05 term at Ohio State.

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problem_4 - 1 1.1 ASTRONOMY 822: Electromagnetic Radiation...

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