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Traveling Waves

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.

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Traveling Waves

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  1. Traveling Waves

  2. Wave Equation For small angles: Force mass accceleration

  3. Wave Equation Any function y(x,t) will satisfy wave eq as long as x and t appear inthe argument in the combination: tension velocity mass/length

  4. Wave Equation Any function y(x,t) will satisfy wave eq as long as x and t appear inthe argument in the combination:

  5. Solutions to Equation The disturbance y(x,t) performs simple harmonic motion aboutequilibrium in t (for fixed x) or x (for fixed t).

  6. Wave Equation Other quantities satisfying wave equation 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

  7. Transverse traveling waves

  8. Sample Traveling Wave Change the x-axis scale

  9. Sample Traveling Wave

  10. Traveling Wave

  11. Traveling Wave

  12. Traveling Wave

  13. Standing Waves Reflected pulse But if we have a incident sinusoidal travelingwave and a reflected sinusoidal wave:

  14. Standing Waves Trig

  15. Standing Waves

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