A) 0.2 H
B) 5H
C) 0.8 H
D) 0.1 H
Correct Answer: D
Solution :
We know that, the magnetic flux associated with coil Y is directly proportional to current flowing in X coil. \[\text{o}{{\text{ }\!\!|\!\!\text{ }}_{y}}\propto {{l}_{x}}\] Here,\[\text{o}{{\text{ }\!\!|\!\!\text{ }}_{y}}=\] change in magnetic flux in coil \[Y\] \[{{l}_{x}}=\]change in current in coil X M = mutual inductance We have \[\text{o}{{\text{ }\!\!|\!\!\text{ }}_{y}}=M{{l}_{x}}\] \[{{l}_{x}}=4A\]and \[\text{o}{{\text{ }\!\!|\!\!\text{ }}_{y}}=0.4\,Wb\] \[0.4=M\times 4\] \[M=\frac{0.4}{4}=0.1\,H\]
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