Electric field induced in a ring

AI Thread Summary
A metal ring with a diameter of 4.6 cm is placed in a magnetic field that decreases at a rate of 0.260 T/s. The induced electric field in the ring is related to the changing magnetic flux through it, which can be calculated using the formula for flux and induced EMF. The area of the ring must be converted to square meters for accurate calculations. The initial approach to calculate the change in flux was incorrect due to miscalculating the area. Understanding these principles is crucial for determining the magnitude of the induced electric field.
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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