Two coils of inductances L(1), and L(2) ...

Two coils of inductances `L_(1)`, and `L_(2)` are linked such that their mutual inductance is `M`

`M=L_(1)+L_(2)`

`M=1/2(L_(1)+L_(2))`

The maximum value of `M` is `(L_(1)+L_(2))`

The maximum value of `M` is `sqrt(L_(1)L_(2))`

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