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Electricity and Magnetism EMF Induced in a Conductor Moving through a Magnetic Field
A conductor is moved a distance, Ds, at 90° to a magnetic field of flux density B, in time Dt. The free electrons in the conductor will experience a force causing them to move through the conductor. Suppose that a total charge DQ moves past any point in the conductor in time Dt. The work done by the force F is given by
This work is equal to the energy given to the charge DQ.
and, work done per Coulomb is
the induced emf
If the conductor moves at constant speed, the force F must be equal but opposite to the force acting on it due to the current, I, induced in it.
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