- #1

tade

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The moving magnet and conductor problem is an intriguing early 20th century electromagnetics scenario famously cited by Einstein in his seminal 1905 special relativity paper.

In the magnet's frame, there's the vector field (

**v × B**), the velocity of the ring conductor crossed with the B-field of the magnet.

In the ring conductor's frame, there's the induced electric field

**E'**.Using classical electromagnetics, it can be shown that the curls of both vector fields are mathematically equivalent. It is then usually stated that both vector fields themselves are mathematically equivalent.

I've been researching documents on the mathematics of the moving magnet and conductor problem, and I haven't been able to find any mathematical steps showing how we can arrive at both fields being equivalent if their curls are equivalent.

Multiple different vector fields can produce the same single curl field, and vice versa, a single curl field can be indicative of multiple different vector fields.

So I would like to know how to derive the equivalency of the moving magnet and conductor vector fields.

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