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Learning Objectives. Explain how energy travels with a pulse or wave. Describe, using a mathematical expression, how the energy in a wave depends on the amplitude of the wave. All waves carry energy, and sometimes this can be directly observed.
- 16.11: Energy in Waves- Intensity
The energy effects of a wave depend on time as well as...
- 16.11: Energy in Waves- Intensity
Learning Objectives. By the end of this section, you will be able to: Explain how energy travels with a pulse or wave. Describe, using a mathematical expression, how the energy in a wave depends on the amplitude of the wave. All waves carry energy, and sometimes this can be directly observed.
The energy and power of a wave are proportional to the square of the amplitude of the wave and the square of the angular frequency of the wave. The time-averaged power of a sinusoidal wave on a string is found by where is the linear mass density of the string, A is the amplitude of the wave, is the angular frequency of the wave, and v is the ...
The energy effects of a wave depend on time as well as amplitude. For example, the longer deep-heat ultrasound is applied, the more energy it transfers. Waves can also be concentrated or spread out.
An extremely important quantity related to waves is power. We want to use waves to do things, such as transmit sound or light, or energy in a wire. Thus we want to know the rate at which work can be done using a wave. For example, if you have an incoming sound wave, how much power can be transmitted by the wave to a microphone?
The energy and power of a wave are proportional to the square of the amplitude of the wave and the square of the angular frequency of the wave.
The average rate of energy transfer associated with a wave is called its power, which is total energy divided by the time it takes to transfer the energy. For a sinusoidal wave, energy and power are proportional to the square of both the amplitude and the angular frequency.
