X and Y, two metallic coils are arranged in such a way that, when steady change in current flowing in X coil is 4 A, change in magnetic flux associated with coil Y is 0.4Wb. Mutual inductance of the system of these coils is
A
0.2 H
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B
5 H
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C
0.8 H
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D
0.1 H
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Solution
The correct option is D 0.1 H We know that, the magnetic flux associated with coil Y is directly proportional to current flowing in X coil. ϕy∝lx Here, ϕy= Change in magnetic flux in coil Y lx= change in current in coil X M= mutul incductance We have ϕy=0.4Wb 0.4=M×4 =0.44=0.1H