Can a Moving Magnetic Field Induce Eddy Currents in a Conductor?

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Sam19KY
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Can a moving magnetic field create eddy currents in a conductor ?
Moving a magnet in and out of a solenoid makes a current flow in the solenoid. I know that a changing magnetic field induces emf in a conductor but what about a moving magnetic field ? Are eddy currents present in the solenoid (above) ?
 
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There has to be a relative motion between the field and the conductor for induction of emf. In induction motors, the stator field is moving, which induces emf in the rotor bars.