Traveling Waves

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    25-Jan-2016
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Traveling Waves. Wave Equation. For small angles:. Force. mass. accceleration. Wave Equation. Any function y(x,t) will satisfy wave eq as long as x and t appear in the argument in the combination:. tension. velocity. mass/length. Wave Equation. - PowerPoint PPT Presentation

Transcript of Traveling Waves

  • 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