# Traveling Waves

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25-Jan-2016Category

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Traveling Waves

Wave EquationFor small angles:Forcemassaccceleration

Wave EquationAny function y(x,t) will satisfy wave eq as long as x and t appear in the argument in the combination:tensionmass/lengthvelocity

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

Solutions to EquationThe disturbance y(x,t) performs simple harmonic motion about equilibrium in t (for fixed x) or x (for fixed t).

Wave EquationOther quantities satisfying wave equationElectric (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

Transverse traveling waves

Sample Traveling WaveChange the x-axis scale

Sample Traveling Wave

Traveling Wave

Traveling Wave

Traveling Wave

Standing WavesReflected pulseBut if we have a incident sinusoidal traveling wave and a reflected sinusoidal wave:

Standing Waves Trig

Standing Waves

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