In general the trajectory of a charged particle in crossed electric and magnetic fields is a cycloid.

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In general the trajectory of a charged particle in crossed electric and magnetic fields is a cycloid. Show that, if v = vox̂, B = Boẑ, and E = Eoŷ, then for vo = Eo/Bo the path is a straight line. Explain how this situation can be exploited to design a mass spectrometer.

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