So I've been wanting to build a particle accelerator for a while, and have kind of been brain storming ideas to make it work. I've been recently trying to figure out how to get the actual acceleration to happen. I have a few ideas, but the one that I like (assuming it's possible) is using a time varying magnetic field to create a circular electric field. Is it possible to create this without a conductor to house the charges? Also, what would be a reasonable db/dt to expect to get without emplying superconductors if I use electro magnets? Would it be better to use natural magnets? Perhaps rig up a device that drops natural magnets through the loop. If they are transported far enough away before bringing them back up, then I should be able to get a good amount of inductance going on, assuming charges are the only thing necessary to experience said induction, and not that they lie on a conductor. Really the only other idea that would be coming to mind would be to use conductive loops wrapped around the vacuum tube (chamber) and switch the voltages on a somewhat periodic basis, but this would have to vary as the (likely) electrons or (hopefully) protons accelerate. I'm not sure how to measure that, or calculate it accurately enough to be able to switch the voltages and keep everything accelerating. Thoughts? Ideas? Critisisms? Thanks.