Can Magnetic Fields Couple and Affect Each Other?

[Idea04]

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.

 

[NascentOxygen]

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