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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