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Magnetic induction. If you have conductor, then there are these free electrons bouncing back and forth between the atoms. They move in random directions and there is no unified movement which we could detect as electric current.

From the Lorentz force of a charge moving through a magnetic field, we have the force as F = qv x B. Where v and B are vectors. The force will be perpendicular to both the velocity and the B field. Its magnitude is qvB*sin(Θ). So if your conductor is moving in a magnetic field, then those free electrons will experience a force accelerating them in a perpendicular direction.

To give a sense of this, if the wire is laying flat on a paper running left and right, and the magnetic field lines are coming up out of the paper, if you move the wire in the up direction (on the page) then the electrons will be forced to move towards the right (along the conductor).

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Q: What process generates a current by moving an lctrical conductor through a magnetic field?
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