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Determining the Path and Center and Radius of Circles

Please check the attachment which contains the appropriate notation.

A particle with charge q is at the origin and is given an initial velocity v=vox. The magnetic field in the origin is b=boz and the electric field is E=Eoy. Determine the path of the particle (that is, find its position as a function of time, and interpret the results). Begin by showing that the path lies in a single plane. Determine the center and radius of any circles. Do not make assumptions about the value of vo.

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A particle with charge q is at the origin and is given an initial velocity (see attached for formatting) . The magnetic field ...

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