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Can you use crossed electric and magnetic fields to construct a velocity selector?

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The expert analyzes the cross electric and magnetic fields to construct a velocity. With good explanations and calculations, the problem is solved.

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Posting 10454
Suppose the electric field strength is made large enough so the electric force balances the magnetic force and so the total force is zero. Thus

For a given electric field E and magnetic field B, the charge feels no net force ...

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