Direction of magnetic field due to a toroid

AI Thread Summary
The discussion focuses on determining the direction of the magnetic field generated by a toroid, which is found to be circumferential due to its similarity to a solenoid. Participants confirm that the magnetic field inside the toroid is indeed circumferential and that there is no magnetic field outside the toroid. The conversation also touches on the possibility of generalizing this concept for different cross-sectional shapes, with the consensus that factors such as shape, symmetry, and material permeability complicate this generalization. Overall, the direction of the magnetic field in a toroid is established as circumferential, and external fields are absent. The discussion highlights the complexities involved in varying the cross-sectional shape of the toroid.
Pushoam
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Homework Statement


To find the direction of magnetic field due to a toroid.

Homework Equations

The Attempt at a Solution


Taking the cross - sectional shape of toroid circular, the toroid could be turned into a solenoid. A solenoid's magnetic field is along its axis. When the solenoid gets turned into a toroid, its axis becomes circumferential.
So, the direction of magnetic field is circumferential. Is this correct?
 
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Pushoam said:
So, the direction of magnetic field is circumferential. Is this correct?
Yes.
 
cnh1995 said:
Yes.
I want to know about the argument. Is the argument correct?
And is there anyway to generalize it for any cross-sectional shape?
 
Pushoam said:
I want to know about the argument. Is the argument correct?
Yes. In fact, there is no magnetic field outside the toroid.
Pushoam said:
And is there anyway to generalize it for any cross-sectional shape?
I'm not an expert, but I don't think so. Factors like shape, symmetry, permeability of the material affect the field.
 
Thanks.
 

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