Trapping Particals in magnetic feild.

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Trapping Particals in magnetic feild.

Postby Goblin080 » Fri Aug 16, 2013 9:15 pm UTC

Hi all.

Would it be possible to fire a particle at an angle from a round object and trap it in orbit using magnetic fields?

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Re: Trapping Particals in magnetic feild.

Postby Link » Fri Aug 16, 2013 9:57 pm UTC

If the particle is charged, then yes; see cyclotron resonance.

Section 5.1.2 of Introduction to Electrodynamics by David J. Griffiths (4th ed., pages 212-215) gives an easy-to-follow derivation, although it's a bit long to quote here.
Last edited by Link on Fri Aug 16, 2013 10:04 pm UTC, edited 1 time in total.

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Re: Trapping Particals in magnetic feild.

Postby flownt » Fri Aug 16, 2013 9:58 pm UTC

Given arbitrary instruments to create the magnetic field: yes*. only using the sphere: I doubt it. However, binding it electrostatically might be easier, just put the opposite charge in the sphere.

By the way, if your particle isn't charged, like a neutron, then the answer is no.

*: constant magnettic field perpendicular to the circle you want the particle to move about. IIRC this requires current spinning through a cylinder around your particle.

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Re: Trapping Particals in magnetic feild.

Postby idobox » Fri Aug 16, 2013 10:01 pm UTC

A charged particle in a void, travelling perpendicularly to a constant magnetic field will 'orbit' for some time, but it will loose energy (and speed) through synchrotron radiation. Particle accelerators commonly do that.
It might be possible to get this effect with non-uniform fields, but it's probably more difficult.

Another, more complex design involves toroidal electromagnets and is used to confine plasmas (look for tokamak).
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