Is Math the Key to Understanding Energy Transfer in Waves?

In summary, the mathematical representation of energy transfer in a wave can be shown through Maxwell's equations and the Friis equation for antenna power transfer. However, a simpler explanation can be found through Feynman's sticky beads concept, which can easily be modified to demonstrate energy transfer in a mechanical wave. It is important to note that explanations without math can be more complex or incorrect.
  • #1
sanpokhrel
How can we show mathematically that a wave transfer energy?
 
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  • #3
berkeman said:
Maxwell's equations and the Friis equation for antenna power transfer? https://en.wikipedia.org/wiki/Friis_transmission_equation
I just want a simple explanation. For a wave on a string, how can we show energy transfer.
 
  • #4
Look up "Feynman's sticky beads". Feynman used this (embarassingly simple) argument to show that gravitational waves carry energy. Modifying it for a mechanical wave is simple.
 
  • #5
sanpokhrel said:
I just want a simple explanation.

I thought you wanted the math. If you want a simple explanation, never ask for the math behind something.
 
  • #6
On the other hand, explanations without math are either more complicated than with math or wrong.
 
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Related to Is Math the Key to Understanding Energy Transfer in Waves?

What is energy transfer?

Energy transfer is the movement of energy from one object or system to another. This can occur in various forms, such as heat, light, sound, or electric currents.

What are the different types of energy transfer?

There are three main types of energy transfer: conduction, convection, and radiation. Conduction is the transfer of heat through direct contact, convection is the transfer of heat through the movement of fluids, and radiation is the transfer of energy through electromagnetic waves.

How do waves transfer energy?

Waves transfer energy by causing particles in a medium to oscillate, or vibrate, back and forth. This energy is then passed from one particle to the next, creating a wave motion that carries the energy through the medium.

What factors affect energy transfer by waves?

The factors that affect energy transfer by waves include the amplitude, frequency, and wavelength of the wave, as well as the properties of the medium through which the wave is traveling, such as density and temperature.

How is energy transfer and waves related to everyday life?

Energy transfer and waves play a crucial role in various aspects of everyday life. For example, we use waves to communicate through radio, TV, and internet signals; we harness energy from waves to generate electricity through wind and water turbines; and we use waves to cook food in a microwave or heat our homes with infrared radiation.

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