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A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid x =E/QB(Qt – sinQt) y =E/QB(1 - cosQt)

A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid x =E/QB(Qt – sinQt) y =E/QB(1 - cosQt)

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A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid x Ε/ΩB(Dt-sinQt) y =E/QB(1 - cosQt) in the plane z = 0, where Q = eB/m.
Transcribed Image Text:A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid x Ε/ΩB(Dt-sinQt) y =E/QB(1 - cosQt) in the plane z = 0, where Q = eB/m.
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