Relationship between
Amplitude and Energy of a Wave
Tara prepared a report to show how the amplitude of
waves affects the energy of waves. Is her graphical
representation correct? Why or why not?
Energy Unit
2
3
Amplitude Unit
Intro
Done

The energy of a wave is proportional to the square of its amplitude

Explanation:

The graph in this problem is missing.

However, we can describe what is the relationship between amplitude and energy of a wave.

In fact, for a wave, the energy carried by it is proportional to the square of its amplitude:

where

E is the energy of the wave

A is the amplitude

This means that, for instance:

- as the amplitude of the wave increases by a factor of 2, the energy carried by the wave increases by a factor of 4

- As the amplitude of the wave increases by a factor of 3, the energy carried by the wave increases by a factor of 9

... and so on.

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