Radio Wave Interference between Two Antennas

Click For Summary
SUMMARY

The discussion focuses on the interference of radio waves from two antennas broadcasting at a frequency of 99.0 MHz, separated by 12.40 m. The phase difference at point P, located 58.0 m from antenna A, is calculated to be 2.718 radians. The problem also addresses the distance from antenna A at which observer P first experiences fully destructive interference and the total number of minima detected along the x-axis as P approaches antenna A.

PREREQUISITES
  • Understanding of wave interference principles
  • Knowledge of trigonometry and right triangles
  • Familiarity with radio wave properties and frequency calculations
  • Basic concepts of phase difference in wave mechanics
NEXT STEPS
  • Calculate the conditions for constructive and destructive interference in wave systems
  • Explore the effects of varying antenna separation on interference patterns
  • Investigate the application of Fourier analysis in wave interference
  • Learn about the practical implications of radio wave interference in telecommunications
USEFUL FOR

Students studying physics, particularly in wave mechanics, engineers working with radio frequency technologies, and anyone interested in the principles of wave interference and its applications.

Irockonice14
Messages
1
Reaction score
0

Homework Statement


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= 12.40 m. An observer, P, is located on the x axis, a distance x= 58.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and 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? 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?

Homework Equations


The Attempt at a Solution


I got part A, which is 2.718 rad

http://lon-capa.bd.psu.edu/res/msu/physicslib/msuphysicslib/75_Interf_Diffrac1/graphics/prob08a_antennas.gif
 
Last edited by a moderator:
Physics news on Phys.org
Irockonice14 said:

Homework Statement


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= 12.40 m. An observer, P, is located on the x axis, a distance x= 58.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and 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? 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?


Homework Equations





The Attempt at a Solution


I got part A, which is 2.718 rad

http://lon-capa.bd.psu.edu/res/msu/physicslib/msuphysicslib/75_Interf_Diffrac1/graphics/prob08a_antennas.gif

I'm not able to see the image. Can you upload it as an attachment?
 

Similar threads

Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
Replies
13
Views
5K
  • · Replies 17 ·
Replies
17
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 16 ·
Replies
16
Views
8K
  • · Replies 4 ·
Replies
4
Views
5K