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Interesting question. Because Fleming's right hand rule tells us that a conductor carrying a current perpedicular to a magnetic field will move in a particular direction we know that movement, current and magnetic field are related. So if we take the current away and instead force the conductor to move as described then we would observe a current in the wire. However, you have not said that your conductor is connected in a circuit - in which case the charge carriers in the conductor will tend to one side like a bar magnet.

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The original answer is incorrect. A voltage would be induced into the conductor. No current would flow unless the conductor forms a continuous circuit.

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