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**Traveling Waves & Wave Equation**

Sending a pulse down a string T = tension µ = mass/length

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Wave Equation: F =ma For small angles: Force mass accceleration

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**Wave Equation: Solutions**

Any function y(x,t) will satisfy wave eq as long as x and t appear in the argument in the combination:

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Sample Traveling Wave

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**Transverse traveling waves**

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Traveling Wave

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Traveling Wave

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**Wave Equation Examples**

Electric (E) or magnetic (B) field propagating in space from an oscillating charge (Light) Current (I) or voltage (V) propagating in a coax cable c - is the speed of light The quantum-mechanical probability amplitude to find a particle at a certain location in space also satisfies a wave equation - Schroedinger’s Equation

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**Standing Waves Reflected pulse**

But if we have a incident sinusoidal traveling wave and a reflected sinusoidal wave:

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Standing Waves Trig

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Standing Waves

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Trig Review

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Beats

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Waves Rhythmic disturbance that carries energy through matter or space.

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