Calculating Intensity at a Distance of 200 m from Three Intersecting Waves

  • Thread starter Thread starter kasse
  • Start date Start date
  • Tags Tags
    Interference Wave
Click For Summary
SUMMARY

The discussion focuses on calculating the intensity of three intersecting waves at a distance of 200 meters using the amplitude function y(r,t) = (A/r)e^(i(kr-wt))[1-2cos(kdsinθ)]. To find the intensity, participants confirm that squaring the amplitude is necessary, leading to the conclusion that intensity I equals A* A, effectively eliminating the time-dependent exponential term. This approach provides a clear method for determining intensity as a function of the angle θ.

PREREQUISITES
  • Understanding of wave mechanics and amplitude functions
  • Familiarity with complex exponentials in wave equations
  • Knowledge of intensity calculations in physics
  • Basic trigonometry, particularly involving cosine functions
NEXT STEPS
  • Study the derivation of intensity from wave amplitudes in physics
  • Explore the implications of wave interference patterns
  • Learn about the role of phase shifts in wave interactions
  • Investigate applications of wave intensity calculations in acoustics and optics
USEFUL FOR

Students and professionals in physics, particularly those focusing on wave mechanics, acoustics, and optics, will benefit from this discussion. It is also relevant for anyone involved in research or applications related to wave interference and intensity calculations.

kasse
Messages
383
Reaction score
1
If the amplitude of three intersecting waves is given by

[tex]y(r,t) = \frac{A}{r}e^{i(kr-wt)}[1-2cos(kdsin\theta)][/tex]

how can I then find the intensity at r = 200 m as a function of [tex]\theta[/tex]?

I know that intensity is the square of the amplitude. Should I simply square y(r,t)? If I do, I get I as a function of t as well, because of the part [tex]e^{i(kr-wt)}[/tex].
 
Physics news on Phys.org
kasse said:
If the amplitude of three intersecting waves is given by

[tex]y(r,t) = \frac{A}{r}e^{i(kr-wt)}[1-2cos(kdsin\theta)][/tex]

how can I then find the intensity at r = 200 m as a function of [tex]\theta[/tex]?

I know that intensity is the square of the amplitude. Should I simply square y(r,t)? If I do, I get I as a function of t as well, because of the part [tex]e^{i(kr-wt)}[/tex].

intensity is [tex]I=A^* A[/tex]
where A is the amplitude
so that makes the exponential term go away
 
Thanks!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
885
Replies
5
Views
2K
  • · Replies 25 ·
Replies
25
Views
4K