Can Magnetic Fields Couple and Affect Each Other?

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Idea04
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Can a weak alternating magnetic field from one coil have an effect on another coil that has a stronger alternating magnetic field?

I ask this because I want to know if magnetic fields follow the same principal as coupling two different voltages together.
 

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Each effects the other. By carefully choosing their relative angle to each other, you can minimize or maximize the reaction.
 

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