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Question:
A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
Answer:

Mutual inductance of a pair of coils, µ = 1.5 H

Initial current, image067 NCERT Solutions class-12 physics Electromagnetic Induction = 0 A

Final current image068 NCERT Solutions class-12 physics Electromagnetic Induction = 20 A

Change in current, image069 NCERT Solutions class-12 physics Electromagnetic Induction

Time taken for the change, t = 0.5 s

Induced emf, image070 NCERT Solutions class-12 physics Electromagnetic Induction

Where image064 NCERT Solutions class-12 physics Electromagnetic Inductionis the change in the flux linkages with the coil.

Emf is related with mutual inductance as:

Equating equations (1) and (2), we get

image071 NCERT Solutions class-12 physics Electromagnetic Induction

image072 NCERT Solutions class-12 physics Electromagnetic Induction

image073 NCERT Solutions class-12 physics Electromagnetic Induction

Hence, the change in the flux linkage is 30 Wb.

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