A positive particle enters normally into a strip of uniform magnetic field of width d with speed v. The field is perpendicular to the plane of motion and the magnetic radius is r=mv/(qB). For d<r, what is the deflection angle φ before it crosses the far boundary?
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Question

A positive particle enters normally into a strip of uniform magnetic field of width d with speed v. The field is perpendicular to the plane of motion and the magnetic radius is r=mv/(qB). For d<r, what is the deflection angle φ before it crosses the far boundary?

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G1 Physics · Accepted Answer

With normal entry, the horizontal penetration after turning through angle φ is x=r sinφ. At the far boundary x=d, so sinφ=d/r.