Calculating Induced EMF in a Long Wire Using Flux and Lenz Law

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SUMMARY

The discussion focuses on calculating the induced electromotive force (EMF) in a long wire using magnetic flux and Lenz's Law. Participants emphasize the necessity of understanding how a changing current in a straight wire generates a magnetic field, which in turn affects the magnetic flux through a nearby square wire. The application of calculus is essential for expressing the changing magnetic flux, and the right-hand rule is crucial for determining the direction of the induced current. Mastery of these concepts is vital for solving problems related to electromagnetic induction.

PREREQUISITES
  • Understanding of Lenz's Law
  • Familiarity with magnetic flux concepts
  • Proficiency in calculus for analyzing changing quantities
  • Knowledge of the right-hand rule for magnetic fields
NEXT STEPS
  • Study the mathematical formulation of Lenz's Law
  • Learn how to calculate magnetic flux in various geometries
  • Explore applications of calculus in electromagnetism
  • Investigate the right-hand rule in different electromagnetic scenarios
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding electromagnetic induction and its applications in real-world scenarios.

NewYorkMets
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Hi everyone,
I am currently stuck on this problem, and I was wondering if I could get assistance, at least in getting started.
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It'd be greatly appreciated!
 
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Know that the current in the long straight wire produces a magnetic field. How can you express this magnetic field?

There is a magnetic field, so there is some flux through the square wire. We also know the current is changing, so the flux is changing too. Current will be induced in the square wire.

Follow through on that process. (Hint, you'll need to use calculus to get the magnetic flux)

Also, know how to use the right hand rule and Lenz law. Its important.
 

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