Direction of magnetic field due to a toroid

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Homework Help Overview

The discussion revolves around determining the direction of the magnetic field produced by a toroid, with references to its relation to a solenoid's magnetic field characteristics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the analogy between a toroid and a solenoid, questioning the correctness of the reasoning that leads to the conclusion of a circumferential magnetic field. There are inquiries about the generalizability of this reasoning to different cross-sectional shapes.

Discussion Status

Some participants affirm the circumferential direction of the magnetic field, while others seek clarification on the underlying arguments and the potential limitations of the reasoning presented. There is acknowledgment of factors that may influence the magnetic field, though no consensus is reached on generalization.

Contextual Notes

Participants note that the magnetic field outside the toroid is negligible, and discussions touch upon the influence of shape, symmetry, and material properties on the magnetic field.

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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