Mutual inductance of two coils can be increased by

decreasing the number of turns in the coils

increasing the number of turns in the coils

winding the coils on wooden cores

None of these

Solution

increasing the number of turns in the coils

Mutual inductance of coils

M = $\frac{μ_{0} μ_{r} N_{1} N_{2} A}{I}$

It is clear that mutual inductance of coils can be increased by increasing the number of turns in the coils.

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