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Charge in a constant uniform electric & magnetic field

Charge in a constant uniform electric & magnetic field. Section 22. We consider non-relativistic motion only. Then, p = m v Choose Z || H Choose X & Y so that H & E lie in the YZ plane. Z. B. E. Y. X. Z equation. Add X and Y equations. Time-averaged values.

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Charge in a constant uniform electric & magnetic field

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  1. Charge in a constant uniform electric & magnetic field Section 22

  2. We consider non-relativistic motion only • Then, p = mv • Choose Z || H • Choose X &Y so that H & E lie in the YZ plane Z B E Y X

  3. Z equation

  4. Add X and Y equations

  5. Time-averaged values • Average X velocity is constant • the drift velocity • Perpendicular to both E & H Z B E Y vD X

  6. Drift velocity

  7. Trajectory

  8. Trajectory (ignoring constant acceleration along z due to Ez) Z B E Y X

  9. Which trochoid is a cycloid? 1 2 3

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