Acceleration of a Particle Because of a Wave

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SUMMARY

An electron is accelerated in a linear accelerator due to the electromagnetic waves emitted by a magnetron. The relevant physics equation governing this acceleration is given by the Lorentz force equation: F = q (E + (v/c) x B), where q is the charge of the particle, E is the electric field, v is the velocity, c is the speed of light, and B is the magnetic field. The discussion clarifies that the skin effect is not relevant to this acceleration process.

PREREQUISITES
  • Understanding of electromagnetic fields
  • Familiarity with the Lorentz force equation
  • Knowledge of linear accelerators
  • Basic principles of wave-particle interaction
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  • Explore the role of magnetrons in particle acceleration
  • Investigate electromagnetic wave propagation and its effects on charged particles
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Physics students, electrical engineers, and professionals involved in particle acceleration and electromagnetic theory will benefit from this discussion.

AndresPB
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Hello all, I would like to know why an electron is accelerated in a linear accelerator because of the microwaves emitted by a magnetron?. Can someone tell me what are the relevant physics equations and what is the role of skin-effect here?
Thanks a lot.
 
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Electromagnetic waves are waves of electromagnetic fields. Electromagnetic fields lead to a force acting on a particle. If the timing is right, this force points in flight direction.
This has nothing to do with the skin effect.
 
... and as you wanted a formula:
$$\vec{F}=q \left (\vec{E}+\frac{\vec{v}}{c} \times \vec{B} \right),$$
which is the force on a charged particle with charge ##q## in an electromagnetic field ##(\vec{E},\vec{B})##.
 
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