Traveling Waves & Wave Equation

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Presentation transcript:

Traveling Waves & Wave Equation Sending a pulse down a string T = tension µ = mass/length

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

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:

Sample Traveling Wave

Transverse traveling waves

Traveling Wave

Traveling Wave

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

Standing Waves Reflected pulse But if we have a incident sinusoidal traveling wave and a reflected sinusoidal wave:

Standing Waves Trig

Standing Waves

Trig Review

Beats

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