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Question:

How does the mutual inductance of a pair of coils change when (i) the distance between the coils is increased and (ii) the number of turns in the coils is increased?

Solution:

(i) As Φ=MI, with the increase in the distance between the coils, the magnetic flux linked with the stationary coil decreases and hence the mutual inductance of the two coils will decrease. (ii) Mutual inductance of two coils can be found out by μn₁n₂A/l. M = μn₁n₂A/l i.e., M ∝ n₁n₂. So with the increase in the number of turns, mutual inductance increases.