Faraday's Law and magnetic flux

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SUMMARY

The discussion centers on Faraday's Law and the conditions for induced current in a circular coil when subjected to a changing magnetic field. Participants conclude that no induced current occurs if the magnetic field does not penetrate the coil, as indicated by the equation E=delta Phi/delta t. The assumption is made that the coil and magnetic field are coplanar, with the field direction being crucial for determining induced voltage. If the magnetic field is aligned along the coil's axis, a potential is generated, similar to isolation transformers.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux and its calculation
  • Familiarity with the concept of induced electromotive force (EMF)
  • Basic principles of electromagnetism and coil configurations
NEXT STEPS
  • Study the implications of changing magnetic fields on induced current using Faraday's Law
  • Explore the design and function of isolation transformers in electrical circuits
  • Learn about the geometry of coils and magnetic fields in electromagnetic applications
  • Investigate the effects of coil orientation and magnetic field alignment on induced EMF
USEFUL FOR

Students of physics, electrical engineers, and anyone studying electromagnetic induction and its practical applications in circuits.

rickyw2777
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Homework Statement
If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?
Relevant Equations
E=delta Phi/delta t
I believe that there will not be a induced current because the magnetic field does not pass through the coil.
 
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Can you make a nice drawing that shows how you came to the conclusion?
 
rickyw2777 said:
Homework Statement: If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?
Relevant Equations: E=delta Phi/delta t

I believe that there will not be a induced current because the magnetic field does not pass through the coil.
Assuming that the field direction is along the axis of the coil (not defined in the question as stated here*), there will be a potential generated in the coil. This is exactly what happens in isolation transformers. The current depends on how the coil is connected.
*My assumption is that the coil and the field circle are coplanar, and the field is perpendicular to the disc of the circle.
However, you could read this as the field being along the circumference of the circle, in which case your original thoughts would apply.
 
rickyw2777 said:
Homework Statement: If there is a circular coil of radius r0 and a circular region of magnetic field of radius r1. Given that them have the same center and r0>r1, if the magnetic field changed its magnetic field strength, will there still be a induced current?
Relevant Equations: E=delta Phi/delta t

I believe that there will not be a induced current because the magnetic field does not pass through the coil.
I wonder where does the homework and you are looking at ? No charge, no current.
 
Last edited:

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