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In all books I looked it is written that energy carried by a wave is proportional to its amplitudes square

i.e.

E[tex]\propto[/tex]A^{2}, if wave equation is f(x)=Asin(wx)

but what is the exact equation?

Also if we define the wave with fourier series

f(x)=[tex]\sum[/tex]Acos(nx)+Bcos(nx)

what would be the energy carried by this wave?

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# Energy carried by a wave

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