A radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. The antennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles are all measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D far from the midpoint of the antennas, so that D ≫ d.)(a)In which directions is the strongest signal radiated?0°, 180°90°, 270° 0°, 90°, 180°, 270°45°, 135°, 225°, 315°(b)In which directions is the weakest signal radiated?0°, 180°90°, 270° 0°, 90°, 180°, 270°45°, 135°, 225°, 315° A radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. Theantennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles areall measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D farfrom the midpoint of the antennas, so that D » d.)(a) In which directions is the strongest signal radiated?0°, 180°90°, 270°0°, 90°, 180°, 270°45°, 135°, 225°, 315°(b) In which directions is the weakest signal radiated?0°, 180°90°, 270°0°, 90°, 180°, 270°45°, 135°, 225°, 315°

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

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Chapter1: Units, Trigonometry. And Vectors

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A radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. The antennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles are all measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D far from the midpoint of the antennas, so that

D ≫ d.)

(a)

In which directions is the strongest signal radiated?

0°, 180°

90°, 270°

0°, 90°, 180°, 270°

45°, 135°, 225°, 315°

(b)

In which directions is the weakest signal radiated?

0°, 180°

90°, 270°

0°, 90°, 180°, 270°

45°, 135°, 225°, 315°

A radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. The
antennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles are
all measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D far
from the midpoint of the antennas, so that D » d.)
(a) In which directions is the strongest signal radiated?
0°, 180°
90°, 270°
0°, 90°, 180°, 270°
45°, 135°, 225°, 315°
(b) In which directions is the weakest signal radiated?
0°, 180°
90°, 270°
0°, 90°, 180°, 270°
45°, 135°, 225°, 315°

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