Question
What is meant by coefficient of magnetic coupling?

Answer

For two inductively coupled coils, the fraction of the magnetic flux produced by the current in one coil (primary) that is linked with the other coil (secondary) is called the coefficient of magnetic coupling between the two coils.The coupling coefficient $K$ shows how good the coupling between the two coils is; $0 \leq K \leq 1$. In the ideal case when all the flux of the primary passes through the secondary, $K=I$. For coils which are not coupled, $K=0$. Two coils are tightly coupled if $K>0.5$ and loosely coupled if $K$ $<0.5$.
[ Note ; For iron-core coupled circuits, the value of $K$ may be as high as 0.99 , for air-core coupled circuits, $K$ varies between 0.4 to 0.8 . ]

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