Guitar pickups work by electromagnetic induction, so let’s talk about what that is. If you have a coil of wire (a copper coil is illustrated above), a magnet passing through the coil will induce an electromotive force (EMF) in the coil. This EMF will cause an electric current to flow. (Incidentally, this is also how electric generators work.)
This concept is called Faraday’s law of induction, discovered by Michael Faraday. The EMF is equal to the time rate of change of the magnetic flux through the coil. Magnetic flux means the amount of magnetic field per area per time. Said plainer, this means changes in the magnetic field will cause some kind of current.
via: http://clearscience.tumblr.com/post/3564812865/pickups-are-the-strips-you-see-under-the-strings
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