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Toroidal shaped inductor cancel induced voltages

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qdnboy

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Could someone explain how a toroidal coil that is would uniformly around the core, would be able to cancel out induces voltages from an eternally applied magnetic field?
Thank you!
 

Can you explain, why an external field should induce a voltage in a rotation symmetrical (toroidal) coil? It can't.

A hint for analyzing the problem: It also works without a core.
 

Due to the winding, the induced current will be about the same magnitude at each half of the toroid but opposite in direction, thus, canceling out each other. Thanks!
 

Yes. However, in an inhomogeneous field and with finite toroid diameter, the cancellation isn't complete.
 

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