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GATE 2014 EC (EC2) – Question 43

Networks, Signals and Systems · Time and Frequency Domain Analysis of Linear Circuits · 2 marks · Numerical answer

In the coupled circuit shown, 56% of total flux from one coil links the other. Find mutual inductance (H).

Diagram for GATE 2014 EC (EC2) question 43

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Correct answer: 2.49 to 2.52

Explanation

The stated flux-linkage fraction gives coupling coefficient k=0.56. Mutual inductance is M=k√(L1L2)=0.56√(4×5)=**2.504396H**. The dots determine induced-voltage signs in circuit equations, but do not change this positive mutual-inductance magnitude.