|MadSci Network: Physics|
My colleagues and I are unable to find a satisfactory answer to the following apparent dlimma regarding the law of superposuition of waves: If the displacements add, and wave energy is proportional to ampltude squared, the energies do NOT add. Example: two sinusoidal waves of amplitude A and energy E interfere constructivley to add to a new wave of amplitude 2A. However, this should produce a wave of 4 times the original energy of one wave while the sum of the energies of the two waves should add to 2E, not 4E. I cannot find a single text that addresses this point clearly.
Re: Law of Superposition: if displacements add , what about the energy?
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