Radio Wave Interference between Two Antennas

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The discussion revolves around a physics problem involving two antennas broadcasting radio waves at 99.0 MHz, separated by 12.40 m, and an observer located on the x-axis. The phase difference at the observer's location was calculated to be 2.718 radians. The conversation includes determining the distance from antenna A where the observer first experiences fully destructive interference and how many points along the x-axis will show minima due to this interference. There is a request for an image related to the problem, indicating a need for visual aids to better understand the scenario. The focus remains on calculating interference patterns based on the given parameters.
Irockonice14
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Homework Statement


Two antennas located at points A and B are broadcasting radio waves of frequency 99.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 12.40 m. An observer, P, is located on the x axis, a distance x= 58.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B? Now observer P walks along the x-axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves? If observer P continues walking until he reaches antenna A, at how many places along the x-axis (including the place you found in the previous problem) will he detect minima in the radio signal, due to destructive interference?

Homework Equations


The Attempt at a Solution


I got part A, which is 2.718 rad

http://lon-capa.bd.psu.edu/res/msu/physicslib/msuphysicslib/75_Interf_Diffrac1/graphics/prob08a_antennas.gif
 
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Irockonice14 said:

Homework Statement


Two antennas located at points A and B are broadcasting radio waves of frequency 99.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 12.40 m. An observer, P, is located on the x axis, a distance x= 58.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B? Now observer P walks along the x-axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves? If observer P continues walking until he reaches antenna A, at how many places along the x-axis (including the place you found in the previous problem) will he detect minima in the radio signal, due to destructive interference?


Homework Equations





The Attempt at a Solution


I got part A, which is 2.718 rad

http://lon-capa.bd.psu.edu/res/msu/physicslib/msuphysicslib/75_Interf_Diffrac1/graphics/prob08a_antennas.gif

I'm not able to see the image. Can you upload it as an attachment?
 
(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...

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