Magnetism; the path of electrons

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SUMMARY

The discussion centers on the mechanics of bending magnets used in particle accelerators to redirect the path of electrons. Specifically, it addresses the requirement for a uniform magnetic field, denoted as B, to achieve a 90° bend without collision with a barrier located a distance d from the accelerator's exit. The derived formula for the magnetic field strength is B >= sqrt(2*m*K/e²d²), where m represents the mass of a proton, K is its kinetic energy, and e is the charge of an electron. Participants seek clarification on the application of this formula and the fundamental principles of magnetism affecting charged particles.

PREREQUISITES
  • Understanding of classical electromagnetism principles
  • Familiarity with particle accelerator mechanics
  • Knowledge of the relationship between kinetic energy and magnetic fields
  • Basic proficiency in algebra and physics equations
NEXT STEPS
  • Research the principles of Lorentz force and its effect on charged particles
  • Study the design and function of bending magnets in particle accelerators
  • Explore the derivation of magnetic field equations in accelerator physics
  • Learn about the properties of charged particles, including mass and charge interactions
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Physicists, engineers working in particle physics, students studying electromagnetism, and anyone involved in the design or operation of particle accelerators.

Stroobi
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The path of electrons emerging grom an accelerator must be bent by 90° by a 'bending magnet' so as not to strike a barrier in their path a distance d from their exit hole in the accelerator.
Show that the field B in de bending magnet, which we assume is uniform and can extend over an area d*d, must have magnitude B >= sq rt (2*m*K/e²d²), with m the mass of a proton and K is its kinetic energy.

How can I solve this porblem?
I really don't see it...
 
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