Originally posted by: skene
Figuring out the induced current on the projectile isn't just one simple equation. The changing electric field through the wire, ie turning the current on and off, creates the magnetic field. The creating and destroying of the magnetic field creates the induced current in the cylinder.
Honestly, the best thing is to go to a university or possibly high school library and check out some electricity and magnatisim books if you want get into the nitty gritty bits. Another great place to find info is
http://scienceworld.wolfram.com/physics/ Check out the mangnetic field section in electromagnatisim. That site has TONS of info on it, and unless you've got a decent knowlege base to begin with it might be overwhelming. There really is no replacement for a good text book or teacher explaining theory.
Just out of curiosity, you say you just started magnatisim in class, are you in high school, college, what? In high school I thought of making a rail gun, but figured out a tesla coil was much easier, made just as much noise, and still scared half the judges in the science fair without shooting things at them. Just be VERY CAREFUL when playing with that much power. Once you get shocked by a car battery you'll learn that quickly...better to do that then with a microwave transformer.
edit: fixed a garbled sentence