The Necessity of Supply: Maintaining Standing Waves

AI Thread Summary
Energy must be supplied to maintain a standing wave due to losses from radiation and other factors, despite the wave itself not transmitting energy. The need for energy supply varies based on the type of wave and its environment, such as a string, electromagnetic cavity, or drum skin. Different mediums exhibit varying levels of energy loss, with superconducting cavities showing minimal loss (Q around 10^9) compared to guitar strings (Q around 10^3). This energy input compensates for the inherent losses to sustain the wave's amplitude. Understanding these dynamics is crucial for applications in acoustics and electromagnetism.
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why there is a need to supply energy to maintain a standing wave?
 
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sorry i think it is not quiite clear this is the full question. one end of a cord is attached to a vibrator while the other end is attached to a fixed position. a standing wave is resulted.althought energy is not transmitted by a standing wave, the vibrator must still provide power. Why is this?
 
A standing wave does not need to be supplied in energy to maintain its amplitude but for the losses of energy due to radiation and other causes.
Depending on the kind of wave and the "container" (string, EM cavity, drum skin, etc) and the coupling with the exterior, a standing can have heavy or almost zero losses. En electromagnetic wave in a superconducting cavity can have Q of the order of 10^9. A guitar string has Q of 10^3.
 

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