Electromagnetic induction
Mutually inductance between two magnetically coupled coils depends on

The number of their turns
Cross-sectional area of their common core
All of the listed here
Permeability of the core

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Electromagnetic induction
The inductance of a coil will increase under all the following conditions except

When more length for the same number of turns is provided
When permeability of the core increases
When the number of turns of the coil increase
When more area for each turn is provided

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