Relationship between Induced Current and Current in a Wire

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SUMMARY

The discussion centers on the relationship between the induced current in a square conducting loop and the steady current in a long straight wire. When the loop is pushed toward the wire, the induced current's direction can be determined using the Right-Hand Rule. The magnetic field generated by the wire influences the loop, causing an induced current that flows in a direction opposite to the current in the wire when the loop moves toward it. Understanding the interaction between the magnetic field and the induced current is crucial for solving related physics problems.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the Right-Hand Rule and Left-Hand Rule
  • Knowledge of magnetic fields generated by current-carrying wires
  • Basic concepts of force on charged particles in magnetic fields
NEXT STEPS
  • Study the principles of electromagnetic induction in detail
  • Learn about the applications of the Right-Hand Rule in various scenarios
  • Explore the concept of magnetic fields around current-carrying conductors
  • Investigate the effects of moving conductors in magnetic fields on induced currents
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of induced currents in electrical circuits.

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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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