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Why is the magnetic field outside a toroid 0?

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Finding the magnetic field for a straight wire using the right hand rule shows that the field is around the wire.

Applying this same concept for a toroid, the magnetic field inside is central to the loop of wires so that makes sense.

However, isn't there also a magnetic field outside in a direction perpendicular to each point of the wire, spiraling the toroid?

In a loop of wire, there is a central magnetic field, but isn't there also some magnetic field outside of it?

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