Electron Motion in Magnetic Fields

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Bill Myk
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I hope I'm not violating any rules with this question i believe its the correct forum

When free floating electron(s) enter a magnetic field @ a right angle, do they take a circular orbit around such field?
 
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A fully circular orbit would have some part outside the magnetic field. The initial path is circular, but at some point something else has to happen because it cannot make a full circle.