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Q. Two coils $X$ and $Y$ are placed in a circuit such that a current change of $3A$ in coil $X$ causes the change in magnetic flux by $1.2Wb$ in coil $Y.$ The value of mutual inductance of the coil is :

NTA AbhyasNTA Abhyas 2020

Solution:

Flux change in coil $Y$ is related to current
change in coil $X$ as
$\phi=Mi$
$\Rightarrow d\phi=Mdi$
$\Rightarrow M=\frac{d \phi}{di}$
$\Rightarrow M=\frac{1 . 2}{3}=0.4H$