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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!
 

FvM

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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.
 

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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!
 

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

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