Electromagnetic induction
The coefficient of coupling between two air core coils depends on

Mutual inductance and self inductance of two coils
Mutual inductance between two coils only
Self-inductance of two coils only
None of the listed here

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Electromagnetic induction
A laminated iron core has reduced eddy-current losses because

More wire can be used with less D.C. resistance in coil
The magnetic flux is concentrated in the air gap of the core
The laminations are stacked vertically
The laminations are insulated from each other

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