Question about a conducting sphere in a varying magnetic field

AI Thread Summary
A spherical conducting shell in a time-varying magnetic field does not induce a current along the equator due to the principles of electromagnetic shielding. The changing magnetic field would typically generate eddy currents, but the induced currents within the shell create a magnetic field that opposes the external change. This phenomenon effectively cancels out the magnetic field inside the conducting shell, preventing any net current along the equator. Understanding this concept is crucial for grasping the behavior of conductors in varying magnetic fields. Thus, the presence of a changing magnetic field does not lead to induced currents in this scenario.
Clara Chung
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Homework Statement


3. A spherical conducting shell is placed in a time-varying magnetic field. Is there an induced current along the equator?

Homework Equations

The Attempt at a Solution


I don't know what is the right answer. I mean...why not? Is the magnetic field is changing, there should be eddy current around the equation.. I don't see why won't there be an induced current along the equator..
 
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Clara Chung said:

Homework Statement


3. A spherical conducting shell is placed in a time-varying magnetic field. Is there an induced current along the equator?

Homework Equations

The Attempt at a Solution


I don't know what is the right answer. I mean...why not? Is the magnetic field is changing, there should be eddy current around the equation.. I don't see why won't there be an induced current along the equator..
I believe you are on the right track, but you might be able to offer a better explanation.

I suggest doing a slight bit of research on magnetic shielding (or electromagnetic shielding). Given that this sort of shielding exists, what does that imply about the currents within a conducting shell in the presence of a changing, external magnetic field?
 
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collinsmark said:
I believe you are on the right track, but you might be able to offer a better explanation.

I suggest doing a slight bit of research on magnetic shielding (or electromagnetic shielding). Given that this sort of shielding exists, what does that imply about the currents within a conducting shell in the presence of a changing, external magnetic field?
The currents will produce a magnetic field to oppose the change in magnetic field?
 
Clara Chung said:
The currents will produce a magnetic field to oppose the change in magnetic field?
Yes, that pretty much sums it up in my opinion. :smile:
 
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