Speed of wave.

  • Thread starter azatkgz
  • Start date
  • #1
190
0

Homework Statement


What's the speed and direction of the following wave(A,B and C are constants)
[tex]y(x,t)=Ae^{Bx^2+BC^2t^2-2BCxt}[/tex]


The Attempt at a Solution


[tex]y(x,t)=Ae^{B(x-Ct)^2}[/tex]

from (x-Ct)

v=C in the +x direction
 

Answers and Replies

  • #2
1,860
0
Are you missing the imaginary constant in your exponential? If so, then you are correct. If not, you have a diverging or decaying exponential rather than a plane wave.
 
  • #3
190
0
No,it's original question.There's no imaginary constant.
So my solution is true.Thanks for checking.
 
  • #4
1,860
0
No, there has to be an imaginary constant. You need to have something of the form

[tex]Ae^{i(x-vt)}[/tex]

Regular exponentials don't satisfy the wave equation. The wave equation says that two derivatives in time equal two derivatives in space divided by the velocity squared.
 

Related Threads on Speed of wave.

  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
5
Views
1K
Replies
1
Views
3K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
3
Views
858
Top