Ncert Exercises & Solutions

Q 9. 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?

Given,

Mutual inductance, $μ = 1.5 H$

Current at the initial point, $I_{1}$ = 0A

Current at the final point, $I_{2}$ = 20A

Change in current is, null

Time taken for the change, t = 0.5s

Emf induced, $e = \frac{d ϕ/}{d t} . . . (1)$

Where, dØ is the change in the flux linkage with the coil.

Emf is related to mutual inductance as:

null ...2

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

null

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

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