Engineering What is the magnetic field of a half toroid?

AI Thread Summary
The discussion centers on determining the magnetic field of a half toroid, with initial thoughts on using Ampere's law and Biot-Savart's law. The user proposes that the magnetic field can be calculated as B = (μo * i) / r, but questions arise regarding the application of Biot-Savart's law due to symmetry potentially leading to a zero vector sum. Clarification is sought on the specifics of the half toroid configuration, including whether it is an air core and how it is cut. The complexity of the problem is acknowledged, indicating that a straightforward solution may not exist. The user is looking for guidance on correcting their approach and understanding the true magnetic field in this scenario.
VelocityOfTheSound
Messages
3
Reaction score
0
Homework Statement
What is the magnetic field of a half toroid?
Relevant Equations
Magnetic field of a toroid: μo*N*i / 2*pi*r
Hello,
I would like to know what is the magnetic field of a half toroid.

Would we use Ampere's law? So, considering that the integral is equal to BA, we would have BA = μo * i, then B = (μo * i) / r. But, using Biot-Savart's law, by symmetry, it seems that the vector sum of all the differential magnetic fields is zero.

What is the true answer for this problem? How can I find it? Where are my mistakes?

Thank you!
 
Physics news on Phys.org
Just to be certain: cut in half which way? Air core? This is likely not simple.
 
hutchphd said:
Just to be certain: cut in half which way? Air core? This is likely not simple.
I will show an image.
 

Attachments

  • Half-toroid.jpg
    Half-toroid.jpg
    6.7 KB · Views: 205

Similar threads

Finding Magnetic Field of a Toroid with Two Circuits
Replies
15
Views
3K
What is the effect of a 1 cm gap on the magnetic field in a solenoid?
Replies
20
Views
3K
Calculation of the magnetic field of four quarter circles
Replies
12
Views
1K
I Does a time varying magnetic field in vacuum produce electric field or not?
Replies
7
Views
1K
I Does displacement current create a magnetic field? And Lorentz force?
Replies
10
Views
2K
Force between poles of two magnets
Replies
1
Views
1K
I Is the magnetic field from this current rotationally symmetric?
Replies
12
Views
2K
Calculating magnetic field outside a solenoid
Replies
15
Views
1K
Why is magnetic field half at the sides of a solenoid?
Replies
11
Views
3K
I How relative is the magnetic field of a current carrying conductor?
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top