A beam of electrons whose kinetic energy is K emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate at distance d from this window is perpendicular to the direction of the emerging beam, as shown in Fig. 1. (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic 2mK field such that in which m and e are the electron mass and charge. (b) How should B be oriented? Foil window Electron beam Plate Tube d- Fig. 1

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A beam of electrons whose kinetic energy is K emerges from a thin-foil "window" at the end
of an accelerator tube. A metal plate at distance d from this window is perpendicular to the
direction of the emerging beam, as shown in Fig. 1.
(a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic
2mK
field such that
in which m and e are the electron mass and charge.
(b) How should B be oriented?
Foil
window
Electron
beam
Plate
Tube
d-
Fig. 1
Transcribed Image Text:A beam of electrons whose kinetic energy is K emerges from a thin-foil "window" at the end of an accelerator tube. A metal plate at distance d from this window is perpendicular to the direction of the emerging beam, as shown in Fig. 1. (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic 2mK field such that in which m and e are the electron mass and charge. (b) How should B be oriented? Foil window Electron beam Plate Tube d- Fig. 1
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