Magnetic field due to a toroid

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The toroid is a hollow circular ring on which a large number of turns of a wire are closely wound.

Consider a toroid of an anchor ring of radius = r
Let n be the number of turns
Suppose that current I is passed through the toroid, then the magnetic field will be same at all points on toroid.

The magnetic field direction is tangent of the ring

B . L = μ0 × I

[ according to amphere's circuital law]

Total number of turns = 2 π r n

Total current = 2 π r n I

Thus, B × 2 π r = μ0 × 2 π r n I

B = μ0 n I

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