A positive charge 'q' of mass 'm' is moving along the +x axis with speed v. We wish to apply a
uniform magnetic field B for time At so that the charge reverse its direction crossing the y axis at
a distance d. Then what is B and time
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Explanation:
To change the direction of charge, a force needs to be applied such that,
qvB=
r
mv
2
where r=d/2
Therefore,
B=
qd
2mv
Total displacement is d when charge travels for time, δt
Therefore,
δt=
2v
πd
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