Magnet mirror · Estonian PhO 2013 #2

Physics · magnetostatics

Problem

A particle with a positive charge qq and velocity vv moves towards a rectangular strip so that that its velocity vector forms an angle α\alpha with the normal of the strip. The thickness of the strip is dd and on it is located a homogeneous zz-directional magnetic field with an induction BB (from the plane of the paper directed towards us). For what maximal falling angle αmax\alpha_{\mathrm{max}} does the particle still go through the magnetic field? It is known that the particle that enters the strip perpendicularly would go through the strip. [image — see PDF]

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