A) \[0.2\,\,H\]
B) \[5\,\,H\]
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. \[{{\phi }_{y}}\propto {{l}_{x}}\] Here,\[{{\phi }_{y}}=\]change in magnetic flux in coil\[Y\] \[{{l}_{x}}=\]change in current in coil\[X\] \[M=\]mutual inductance We have\[{{\phi }_{y}}=M{{l}_{x}}\] \[{{l}_{x}}=4\,\,A\] and \[{{\phi }_{y}}=0.4\,\,Wb\] \[0.4=M\times 4\] \[M=\frac{0.4}{4}=0.1H\]
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