Amplitudes in a 2 part string

  • Thread starter Aaron8153
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  • #1
Aaron8153
I know that:
yI(x,t) = AI sin [k1( x - v1t )]
yR(x,t) = AR sin [k1( x - v1t )]
yT(x,t) = AT sin [k1( x - v2t )]

W1 = W2
k1v1 = k2v2

I am unsure about how to prove that AI = AT + AR
Where AI, AT, and AR are the different amplitudes of the incident, transmitted, and reflected waves.
 

Answers and Replies

  • #2
HallsofIvy
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Basically, it's that "W1 = W2" which, I take it, is "conservation of energy". Do you know how to calculate the energy in a wave?
 

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