Consider a toroid (similar to a ring) wound uniformly with N turns.
If the mean radius of the magnetic path of the toroid is a, then
the magnetic path length would be (2πa) and the total mmf
produced would be N I.
Thus from Ampere’s Law
magnetic field
H=NI/2πa
inside the toroid. [variation of the magnetic field inside the cross
section of the toroid is usually not necessary to be considered and is assumed uniform].
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