Two antennas located at points A and B are broadcasting radio waves of frequency

Question

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= 6.20 m. An observer, P, is located on the x axis, a distance x= 83.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse.

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?

c) 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?

Explanation / Answer

1) ?=c/f = 3*10^8/95*10^6= 3.158m
PB=?(6.2^2+63^2)= 38.44+3,969= 63.304m
0.304/3.158*360= 34.7

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