Engineering What is the magnetic field of a half toroid?

[VelocityOfTheSound]

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!

 

[hutchphd]

Just to be certain: cut in half which way? Air core? This is likely not simple.

 

[VelocityOfTheSound]

Just to be certain: cut in half which way? Air core? This is likely not simple.

I will show an image.