How Do Antenna Positions Affect Radio Wave Interference?

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Antenna A and B radiate in phase, with Antenna B positioned 130 m to the right of Antenna A. Point Q is located 50 m to the right of Antenna B, leading to distances r1 and r2 of 180 m and 50 m, respectively. The formulas for constructive and destructive interference are applied, resulting in a wavelength of 260 m for destructive interference and 130 m for constructive interference. The calculations confirm the expected results, emphasizing the importance of including units in the final answers. The discussion highlights the straightforward nature of the problem while ensuring clarity in the application of interference principles.
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Two radio antennas A and B radiate in phase. Antenna B is a distance of 130 m to the right of antenna A. Consider point Q along the extension of the line connecting the antennas, a horizontal distance of 50.0 m to the right of antenna B. The frequency, and hence the wavelength, of the emitted waves can be varied.

What is the longest wave length that cause constructive interference and what is the longest wavelenght that cause destructive interference

r1-r2=(.5+m)\lambda
r1-r2=(m)\lambda

After a drew my picture I got r1 =180 and r2=50
then I plugged into the formulas

130=.5\lambda destructive=260
130=\lambda constructive

Is that right because the problem seems to easy?
 
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It is that easy but do not forget to add the unit of wavelength to your result.

ehild
 
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