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Math Help - Interference of Waves Question

  1. #1
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    Interference of Waves Question

    Heres the question:
    Two towers of a radio station are 4.00 x 10^2 m apart along and east-west line. The towers act essentially as point sources, radiating in phase at a frequency of 1.00 x 10^6 Hz. Radio waves travel at 3.00 x 10^8 m/s.

    a) In which directions is the intensity of the radio signal at a maximum for listeners 20k north of the transmitter (but not necessarily directly north of it)?

    b) In which directions would you find the intensity at a minimum, north of the transmitter, if the towers were to start transmitting in opposite phase?

    I'm kind of stumped on this lol, not even sure where to start. Anyone help me out?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Shout View Post
    Heres the question:
    Two towers of a radio station are 4.00 x 10^2 m apart along and east-west line. The towers act essentially as point sources, radiating in phase at a frequency of 1.00 x 10^6 Hz. Radio waves travel at 3.00 x 10^8 m/s.

    a) In which directions is the intensity of the radio signal at a maximum for listeners 20k north of the transmitter (but not necessarily directly north of it)?

    b) In which directions would you find the intensity at a minimum, north of the transmitter, if the towers were to start transmitting in opposite phase?

    I'm kind of stumped on this lol, not even sure where to start. Anyone help me out?
    Start with a diagram.

    Then work out the directions where you have constructive and destructive interference between the two towers (20k can be treated as far field, so the range is largely irrelevant)

    CB
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