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To determine the direction of the induced current in the metallic loop when the electric current flows from B to A in the wire, we can use Lenz's law.
Lenz's law states that the direction of the induced current is such that it opposes the change in magnetic flux that produced it.
In this scenario, as the electric current flows from B to A in the wire, it generates a magnetic field around the wire. This magnetic field intersects with the metallic loop.
To oppose the increase in magnetic flux caused by the current flowing from B to A, the induced current in the metallic loop will flow in such a way that it generates its own magnetic field, opposing the external magnetic field produced by the wire.
Using the right-hand rule for the direction of the induced current, if we imagine the magnetic field lines produced by the wire pointing into the page, the induced current will flow in such a direction as to create a magnetic field out of the page.
Therefore, the induced current in the metallic loop will flow counterclockwise when viewed from above. This counterclockwise current flow will generate a magnetic field out of the page, opposing the increase in magnetic flux caused by the current flowing from B to A in the wire.
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