Is the displacement D(x,t)=(3.0mm)e^{i(2.0x+8.0t+5.0)}, where x is in m, t is in s, and i=\sqrt{-1}, a possible traveling wave?

alesterp

alesterp

Answered question

2021-09-19

Is the displacement D(x,t)=(3.0mm)ei(2.0x+8.0t+5.0), where x is in m, t is in s, and i=1, a possible traveling wave? If so, what is the wave speed? Complex exponentials are often used to represent waves in more advanced treatments.

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-09-20Added 95 answers

Any function is a possible traveling wave if it satisfies the wave equation, so we substitute D(c,t) into the wave equation and find that:
- D(«,t) is a traveling wave if v2=16.
40 m/s

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