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Question

A positive charge 'q' of mass 'm' is moving along the +x axis. We wish to apply a uniform magnetic field B for time Δt, so that the charge reverses its direction, crossing the y axis at a distance d. Then:

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Solution

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qvB=mv2r where r=d/2

Therefore,

B=2mvqd

Total displacement is d when charge travels for time, δt

Therefore,

Therefore,

δt=πd2v

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