Square toriods vs. circula toroids

  • Thread starter Thread starter blindnz
  • Start date Start date
  • Tags Tags
    Square
Click For Summary

Homework Help Overview

The discussion revolves around determining the magnetic field (B-field) inside a toroid as a function of its radius, specifically comparing circular and non-circular (square) cross sections. Participants are exploring whether the shape of the cross section affects the calculations involved in determining the B-field.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants question whether the electromagnetic laws account for the shape of the toroid's cross section, while others explore the implications of having a square versus circular cross section on the B-field calculations. There is also a discussion about the necessity of a uniform cross section and tightly wound wire for accurate calculations.

Discussion Status

The discussion is ongoing, with participants providing insights into the relationship between the shape of the toroid and the B-field. Some guidance has been offered regarding the assumptions about the uniformity of the cross section and the winding of the wire, but multiple interpretations of how the shape affects the B-field are still being explored.

Contextual Notes

Participants are considering the implications of different cross-sectional shapes on the B-field calculations, and there is a focus on the assumptions regarding the geometry of the toroid and the winding of the wire. Specific details about the dimensions of the cross section are also being discussed.

blindnz
Messages
5
Reaction score
0

Homework Statement


Just a question when determing the B-field inside the volume of a toroid as a function of its radius.
Does it change the problem if the toroid has a non circular cross section i.e a square rather then a circle?
 
Physics news on Phys.org
No. Do the electromagnetic laws say anything about the shape? Only about the space of the area or volume you choose, nothing about what the current is doing inside or outside that.
 
blindnz said:

Homework Statement


Just a question when determing the B-field inside the volume of a toroid as a function of its radius.
Does it change the problem if the toroid has a non circular cross section i.e a square rather then a circle?

Do you mean a toroid around which a wire is wound?

If so, then the cross-section has to be the same all along. The shape does not matter. Also, the wire has to be tightly wound, i.e., very less gap between the turns.

If the question pertained to something else, then just ignore all this.
 
When you say that the square toroid will have the same calculation for the B-field as a circular one do you mean that it will depend on the radius or would it depend on the width of the rectangular cross section. Such as if the cross sectional dimensions were of height of a and length of b the B-field would be:

∫B(dA)= μNI → B∫(dA)=μNI → B(ab)=μNI → B=μNI/(ab) where B is dependent on b.

Or do you mean that B=μNI/(2piR)?
 

Similar threads

Finding Magnetic Field of a Toroid with Two Circuits
  • · Replies 15 ·
Replies
15
Views
3K
Direction of magnetic field due to a toroid
  • · Replies 4 ·
Replies
4
Views
2K
What Surface Does ds Represent in Calculating Magnetic Flux Through a Toroid?
  • · Replies 2 ·
Replies
2
Views
4K
Calculating the B field in a small gap in a toroid
  • · Replies 8 ·
Replies
8
Views
16K
How Do You Calculate Mutual Inductance in Toroidal Solenoids?
  • · Replies 17 ·
Replies
17
Views
5K
How to Calculate the Magnetic Field in a Toroid?
  • · Replies 2 ·
Replies
2
Views
6K
Simple faraday's law problem (phi = what?)
  • · Replies 9 ·
Replies
9
Views
2K
Find field intensity at center of toroid?
  • · Replies 4 ·
Replies
4
Views
2K
Magnetic Field in a rectangular toroid
  • · Replies 2 ·
Replies
2
Views
7K
What Is the Range of Magnetic Field Values Inside a Toroid?
  • · Replies 3 ·
Replies
3
Views
7K