If, in addition to the magnetic field B D Bk, the charged
Chapter , Problem 36(choose chapter or problem)
If, in addition to the magnetic field B D Bk, the charged particle of moves with velocity v under the in- fluence of a uniform electric field E D Ei, then the force acting on it is F D q.E C v B/. Assume that the particle starts from rest at the origin. Show that its trajectory is the cycloid x D a.1 cos !t /; y D a.!t sin !t/ where a D E=.!B/ and ! D qB=m. The graph of such a cycloid is shown in Fig. 4.2.5. y
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