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SamRoss
Gold Member
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Does anyone know a simple derivation that explains why the energy of a wave is proportional to the amplitude squared?
vin300 said:Why doesn't this work for EM waves ?
jtbell said:[tex]\int_0^A {F(x)dx} = \int_0^A {kx dx} = \frac{1}{2} kA^2[/tex]
"Energy proportional to Amplitude squared" is a scientific principle that states that the energy of a wave is directly proportional to the square of its amplitude. In other words, the greater the amplitude of a wave, the more energy it carries.
This principle is used in various fields of science, including physics, acoustics, and engineering. It is often used to calculate the energy output of different types of waves, such as sound waves and electromagnetic waves.
The mathematical formula for this principle is E∝A², where E represents energy and A represents amplitude. This means that energy is directly proportional to the square of the amplitude of a wave.
This principle is significant because it helps scientists understand the relationship between the energy and amplitude of a wave. It also allows for the calculation of energy levels in various wave phenomena, which is crucial in many fields of research.
While this principle is widely accepted and used in scientific research, it does have some limitations. It assumes that the medium through which the wave is traveling is uniform, which is not always the case. Additionally, it may not accurately represent the energy of all types of waves, such as non-linear waves.