Travelling wave and standing wave

In summary, travelling waves are characterized by continuous energy transfer while standing waves do not transfer energy but oscillate in place. Travelling waves move in a consistent direction with changing amplitude and wavelength, while standing waves appear to be stationary with fixed amplitude and wavelength. Examples of travelling waves include sound waves, while standing waves can be seen in guitar strings. Travelling waves are used in everyday technologies like radio and television, as well as medical imaging, while standing waves have practical applications in musical instruments, microwaves, and lasers.
  • #1
Andrew Tom
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Homework Statement
Travelling wave and standing wave
Relevant Equations
Travelling wave equation
1665131903406.png


I wasn't sure about my solution for part c. I said "same distance as for traveling wave ie \lambda/2=0.06m".

Also how do you enter LaTeX on this forum?
 
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  • #2
Hello @Andrew Tom ,
:welcome: ##\qquad##!​

Andrew Tom said:
Homework Statement:: Travelling wave and standing wave
Relevant Equations:: Travelling wave equation

same distance as for traveling wave
A traveling wave has no nodes...

But the ##\lambda\over 2## is the correct answer.

At the lower left of the edit screen there is a link to the ##\LaTeX## guide:
1665134897933.png


##\ ##
 
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What is a travelling wave?

A travelling wave is a type of wave that moves through a medium, transferring energy from one point to another without permanently displacing the medium itself. Examples of travelling waves include sound waves, water waves, and electromagnetic waves.

What is a standing wave?

A standing wave is a type of wave that appears to be stationary, with points of maximum and minimum amplitude that do not move through the medium. Standing waves are created by the interference of two or more travelling waves of the same frequency and amplitude travelling in opposite directions.

What is the difference between a travelling wave and a standing wave?

The main difference between a travelling wave and a standing wave is that a travelling wave transfers energy from one point to another, while a standing wave does not. Additionally, a travelling wave appears to move through the medium, while a standing wave appears to be stationary.

What are some applications of travelling and standing waves?

Travelling waves are used in various technologies, such as communication systems, where electromagnetic waves are used to transmit information. Standing waves are used in musical instruments, where they create distinct resonant frequencies that produce specific notes.

How do travelling and standing waves relate to each other?

Travelling and standing waves are related through the principle of superposition, which states that when two or more waves meet, the resulting wave is the sum of the individual waves. Standing waves are created by the superposition of two travelling waves travelling in opposite directions with the same frequency and amplitude.

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