20_InstSolManual_PDF_Part27 - Magnetic Field and Magnetic...

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Solve: (a) Since the paths curve in opposite directions, the forces on the two particles are in opposite directions. One particle has positive charge and one has negative charge. (b) The particle with larger momentum m v moves in a path of larger radius, and this is the particle on the right. (c) The curvature of the path decreases as the particle loses energy. 20.92. Set Up and Solve: (a) so (b) so (c) so 20.93. Set Up: The time T is given by Solve: (a) (b) The time for one revolution is the same for both. An ion moving in a larger circle is traveling faster. (c) To complete one revolution in the same time, an ion moving in a larger circle must travel faster. We can also see this from (d) From we get Reflect: Since the orbital period depends only on B and on the nature of the ion and not on the speed (and radius of the path) of the ion, the rate at which the electric field is pulsed does not have to change as the ions are accelerated.
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