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Why does a 1:1 transformer preserve voltage?

In the context of transformers, it seems intuitively obvious about winding ratios; for example doubling the coils on the second winding doubles the voltage.

But this seems to skip over the question of why was the voltage preserved in the 1:1 transformer in the first place? If I have a coil adjacent to another coil, how does the second coil know the voltage of the first coil?


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