First slide
Force on a charged particle moving in a magnetic field
Question

A charged particle of mass m, carrying a charge Q is projected from the origin with a velocity V=Voi^+j^. A uniform magnetic field B=Bi^ exists in that region. Then maximum distance of the particle from x-axis is

Moderate
Solution

The trajectory of the particle is a helix. Angular velocity ω=QBm and radius r=Vow=mVoQB.

So maximum distance from x-axis = 2r =2mVoQB

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