A positive particle enters a uniform magnetic strip at angle α to the inward normal, with magnetic radius r. Taking the initial tangential velocity component toward +y and the magnetic force initially toward -y, what is the maximum penetration into the strip?
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Question

A positive particle enters a uniform magnetic strip at angle α to the inward normal, with magnetic radius r. Taking the initial tangential velocity component toward +y and the magnetic force initially toward -y, what is the maximum penetration into the strip?

Options

G1 Physics · Accepted Answer

The circle centre is displaced from the entry point by r perpendicular to the initial velocity. Its x-coordinate is r sinα, so the largest x-coordinate of the orbit is r sinα+r=r(1+sinα).

A positive particle enters a uniform magnetic strip at angle α to the inward normal, with magnetic radius r. Taking the initial tangential velocity component toward +y and the magnetic force initially toward −y, what is the maximum penetration into the strip?