Relationship between Induced Current and Current in a Wire

AI Thread Summary
A long straight wire carrying a steady current induces a current in a nearby square conducting loop when the loop is pushed toward the wire. The induced current's direction in the loop is related to the current in the wire, influenced by the magnetic field generated by the wire. The Right-Hand Rule can be applied to determine the direction of the induced current based on the velocity of the loop and the magnetic field direction. Confusion arises regarding the loop's stationary position and how it interacts with the wire's magnetic field. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement



A long straight wire carries a steady current. A square conducting loop is in the same plane as the wire. If we push the loop toward the wire, how is the direction of the current induced in the loop related to the direction of the current in the wire?


Homework Equations


F=qvxB

The Attempt at a Solution


I understand that a moving wire causes a force and therefore a current along the wire. I am having a hard time relating the moving wire to the square loop. Is it in the same magnetic field? Because it's a square wouldn't the current be traveling in all different directions? I'm really confused about where to start how to the relate the force on the wire to the force on the loop.
 
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Have you heard about Right-Hand Rule or Left-Hand Rule? Those rules are related to the problem you are stuck in.
 
I'm confused about the velocity vector of the loop if the loop is stationary. I know for the right-hand rule, my pointer finger points in the direction of the velocity, my middle finger in the direction of the magnetic field, and my thumb in the direction of the force. Is the magnetic field pointing in the same direction as it was for the wire. Is the direction of the force the same direction as the current?
 
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