How Do Antenna Positions Affect Radio Wave Interference?

AI Thread Summary
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.
Punkyc7
Messages
415
Reaction score
0
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?
 
Last edited:
Physics news on Phys.org
It is that easy but do not forget to add the unit of wavelength to your result.

ehild
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top