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

ID: 2211405 • Letter: T

Question

Two antennas located at points A and B are broadcasting radio waves of frequency 105.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.5 m. An observer is located at point P on the x axis, a distance x = 90.0 m from antenna A. The points A P and B form a right triangle. 1) What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radians (rad). 2) Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves? 3) If observer P continues walking until they reach antenna A, at how many places along the x axis (including the place you found in the previous problem) will they find maxima in the radio signal due to constructive interference?

Explanation / Answer

Wavelength of 98MHz ~= 3.1M so d=2lambda (2 x wavelength)

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