Acceleration of a Particle Because of a Wave

In summary, the acceleration of an electron in a linear accelerator is due to the force exerted by electromagnetic waves emitted by a magnetron. This force is described by the equation $$\vec{F}=q \left (\vec{E}+\frac{\vec{v}}{c} \times \vec{B} \right)$$ and is dependent on the timing and direction of the waves. The skin effect is not relevant to this phenomenon.
  • #1
AndresPB
28
1
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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  • #2
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.
 
  • #3
... 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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1. What is acceleration of a particle because of a wave?

The acceleration of a particle because of a wave refers to the change in the velocity of a particle as it moves through a wave. It is a measure of how quickly the particle's speed and direction are changing.

2. How is acceleration of a particle affected by a wave?

The acceleration of a particle is affected by a wave because as the wave passes through the particle, it causes the particle to move in a back-and-forth motion. This motion results in a change in the particle's velocity, leading to acceleration.

3. What factors affect the acceleration of a particle because of a wave?

The acceleration of a particle due to a wave is affected by several factors, including the amplitude, frequency, and wavelength of the wave, as well as the mass and initial velocity of the particle.

4. Can the acceleration of a particle be negative due to a wave?

Yes, the acceleration of a particle can be negative due to a wave. This occurs when the particle is moving in the opposite direction of the wave's motion, resulting in a decrease in velocity and negative acceleration.

5. How is the acceleration of a particle calculated in relation to a wave?

The acceleration of a particle can be calculated by taking the second derivative of the particle's position function with respect to time. In the case of a wave, the position function would involve the wave's amplitude, frequency, and wavelength, as well as the initial position and velocity of the particle.

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