# I Acceleration of a Particle Because of a Wave

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1. Nov 5, 2016

### AndresPB

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.

2. Nov 5, 2016

### Staff: Mentor

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. Nov 5, 2016

### vanhees71

... 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 $(\vec{E},\vec{B})$.