Do Particle Accelerators Experience Torque?

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Particle accelerators, particularly non-linear ones, do experience forces from the particle streams and magnetic fields, but these forces do not impart torque. In the LHC, acceleration is primarily achieved through electric fields rather than magnets, with significant energy stored in the magnets. The forces acting on the magnets come from countercirculating beams and internal stresses due to high magnetic fields. Newton's 3rd law applies, indicating that any acceleration of mass by a field results in equal and opposing effects on the apparatus. Overall, while forces exist, they do not create torque in the system.
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In particular, ones that aren't linear, of course.

Does the particle stream or individual particle, whatever they're firing, impart some sort of vector force on the structure of the accelerator itself via the magnetic field, and into the magnets?
 
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It must. I don't think the force would apply a torque though.
 
In the LHC the acceleration is accomplished not by magnets but by electric fields, namely eight superconducting RF cavities with a field gradient of 5 MV/m.

Forces on the magnets arise from the two countercirculating beams but also from internal stresses due to the maximum magnetic field of 8 Tesla. The beam energy is 350 MJ, but the energy stored in the magnets is much greater, 11 GJ.
 
So basically, no, because the field strength is higher than the angular momentum of the particle stream?
 
I'm going to assume you're wondering if Newton's 3rd law applies (in this case torques only exist in equal and opposing pairs), and it does. Any acceleration of mass by a field will ultimately have an equal and opposing effect on the apparatus (and whatever the apparatus is attached to, such as the earth) that generated the field.
 
That's exactly what I was wondering, thank you.
 
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