Lenz's Law and Current's Direction

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SUMMARY

The discussion centers on Lenz's Law and its application to a loop in the xy plane experiencing a changing magnetic flux in the -z direction. According to the equation emf = -[d(magnetic flux)]/dt, the induced current opposes the change in flux, resulting in a counter-clockwise direction. This conclusion confirms that the induced current flows in the +z direction, aligning with the correct answer being option (4) from the provided choices.

PREREQUISITES
  • Understanding of Lenz's Law
  • Familiarity with electromagnetic induction principles
  • Knowledge of magnetic flux concepts
  • Basic proficiency in interpreting vector diagrams
NEXT STEPS
  • Study the applications of Lenz's Law in various electromagnetic systems
  • Explore Faraday's Law of Induction in detail
  • Investigate the relationship between magnetic flux and induced emf
  • Learn about practical examples of induced currents in circuits
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone interested in understanding the principles of electromagnetic induction and Lenz's Law.

Soaring Crane
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Homework Statement



A loop rests in the xy plane. The z axis is normal to the plane and positive upward. The direction of the changing flux is indicated by the arrow on the z axis. The diagram that correctly shows the direction of the resultant induced current in the loop is

tip30.gif


a. (1)
b. (2)
c. (3)
d. (4)
e. (5)


Homework Equations



emf = - [d(magnetic flux)]/dt

The Attempt at a Solution



In Figure 4, the magnetic flux is increasing in the -z-direction. From Lenz's Law, there is an opposition to this change, so the induced current will be counter-clockwise, which corresponds to the +z-direction?

Thanks.
 
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Exactly right.
 

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