Electric field induced in a ring

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SUMMARY

The discussion centers on calculating the electric field induced in a metal ring with a diameter of 4.6 cm placed in a magnetic field that decreases at a rate of 0.260 T/s. The relevant equations include magnetic flux (Flux = BA) and induced EMF (Induced EMF = -dFlux/dt). A participant incorrectly calculated the area using the diameter instead of the radius, highlighting the importance of unit conversion to square meters for accurate results. The correct approach involves using the area in square meters to determine the induced electric field accurately.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concepts of magnetic flux and induced EMF
  • Ability to perform unit conversions, particularly from centimeters to meters
  • Knowledge of basic geometry to calculate the area of a circle
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction
  • Learn how to calculate magnetic flux in different geometries
  • Explore the relationship between induced EMF and electric fields
  • Practice problems involving changing magnetic fields and induced currents
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of electromagnetic induction and its applications in circuits.

hapax
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Homework Statement


A metal ring 4.6 cm. in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets produce an initial uniform field of 1.12 T between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.260 T/s.

a.) What is the magnitude of the electric field induced in the ring?


Homework Equations



Flux = BA
Induced EMF = -dFlux/dt


The change in magnetic field, it seems, should be affecting the magnetic flux through the ring and thus inducing a counter-clockwise current. I thought that this change in flux could be expressed by (.260 T/s)*(2(pi)(4.6cm/2)^2) or the change in magnetic field times the area, but this is wrong. I don't really know where to begin, any help would be appreciated.
 
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hapax said:

Homework Statement


A metal ring 4.6 cm. in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets produce an initial uniform field of 1.12 T between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.260 T/s.

a.) What is the magnitude of the electric field induced in the ring?


Homework Equations



Flux = BA
Induced EMF = -dFlux/dt


The change in magnetic field, it seems, should be affecting the magnetic flux through the ring and thus inducing a counter-clockwise current. I thought that this change in flux could be expressed by (.260 T/s)*(2(pi)(4.6cm/2)^2) or the change in magnetic field times the area, but this is wrong. I don't really know where to begin, any help would be appreciated.

I think you got the area wrong. 4.6 cm is the diameter and not the radius. You also need the area in m^2
 

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