Two coils are kept near one another. The mutual inductance of the coil pair depends on

how rapidly the currents in the coils vary
the relative arrangement and orientation of the two coils
the material used to make the coil wires
the magnitudes of current flowing in the two coils

Correct answer: the relative arrangement and orientation of the two coils

Solution

Mutual inductance is a purely geometric quantity set by the size, shape, number of turns, separation, and relative orientation of the two coils (and any core). It does not depend on the wire material or the currents.

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