How Do You Calculate Induced Current in a Loop?

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SUMMARY

The calculation of induced current in a loop is fundamentally based on Faraday's Law of Induction. When the current in a wire increases, it creates a changing magnetic field, which results in a changing magnetic flux through the loop. This change in flux induces an electromotive force (emf) in the loop. To find the induced current, one can apply Ohm's Law after calculating the induced emf, considering the resistivity of the material.

PREREQUISITES
  • Understanding of Faraday's Law of Induction
  • Knowledge of Ohm's Law
  • Familiarity with magnetic flux concepts
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the applications of Faraday's Law in different scenarios
  • Explore the relationship between magnetic fields and electric currents
  • Learn about the concept of inductance and its calculations
  • Investigate the effects of resistance on induced current in various materials
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding electromagnetic induction and its applications in circuits.

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Homework Statement



http://img27.imageshack.us/img27/1695/asdfgv.th.png

Homework Equations



Your guess is as good as mine

The Attempt at a Solution



I have no idea how to even begin this problem. What equations are relevant?
 
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The current in the wire at the top is increasing. This means you have a changing magnetic (and elcetric) field around the wire. It follows there will be a changing magnetic flux through your loop. A changing magnetic flux will induce an current (given that certain conditions hold). You can calculate this induced emf using faradyas law of induction. Once you have an emf it is easy to find the current using the resistivity and ohms law.
 

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