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Jan24-13, 04:38 PM
Sci Advisor
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If you work out the energy in, then it will equal the energy out - you can hold onto that principle whilst trudging around in the details of any process! If a stream of charged particles is deflected in a magnetic field then the Lorentz force on each particle, times the change in position (probably involving an integral, just to make it more complicated) will be the work done. That will show itself as a change in kinetic energy. Allowing for losses, you won't get any more or less out of the process.