Bending proton beams under magnetic field

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Bending proton beams under a magnetic field involves understanding the effects of magnetic forces on charged particles. The discussion highlights the challenge of approaching a textbook problem that includes relativistic effects. A geometric approach is suggested, with an emphasis on the circular motion induced by the magnetic field. The importance of visualizing the problem, such as drawing a circle, is noted as a helpful strategy. Overall, guidance is sought on effectively tackling the problem.
hubbard97
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Homework Statement
A proton beam of kinetic energy 20 MeV enters a dipole magnet 2 m in length.

How strong must the field be to deflect the beam by 10 degrees?
Relevant Equations
F = qvB
I haven't taken a physics courses in some time and I'm having trouble getting started with this textbook question. I know that there will be relativistic effects present, but I can deal with that. The problem is how I can approach the problem. I initially thought of a geometric way to set up the problem where I simply assume magnetic field will exert a force uniformly:
q1.png

But I'm not sure if this will work out since the magnetic field will technically induce a circular motion. Any guidance would be greatly appreciated!
 
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Draw a circle!
 

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