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Published byNathaniel Hill Modified over 3 years ago

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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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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 - Schroedingers 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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