H of a toroidal coil with relative permeability

[FUT7CAP]

Consider a toroidal coil of rectangular section of N turns, for every one of which circulates a stream I. The inner radius of the coil is a and b is the exterior and the height is h. The core of this coil is a material inhomogeneous in such a way that their magnetic permeability just depends on the angle theta in this way

$$\mu o=(1+k cos\theta)\mu$$

vector magnetic field H ?

Please, can u solve this?? I can´t find the answer...

Thanks,
José

 

[FUT7CAP]

Well, I know

H must be variable because $$\mu$$ is variable.

H=B/$$\mu$$

So B is variable but B also depends of $$\mu$$ and r

For me B is:

B=($$\mu$$*I*N)/(2$$\pi$$r)

so

H= (I*N)/(2$$\pi$$r)

This mean that H don't depend of the center material of toroid

 

[Psylock7]

Actually, for a toroid, B= (u0*ui*N*i)/(2PIr)*[ln(rb/ra)] which makes me think that H is really H= N*i/2PI(rb-ra)

I'm trying to figure this out too.