In a pair of adjacent coils, for a change of current in one of the coils from 0 A to 10 A in 0.25 s, the magnetic flux in the adjacent coil changes by 15 Wb. The mutual inductance of the coils is _____________.
Fill in the blank with the correct answer from the options given below.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1.5 H
The flux linked with one coil is proportional to the current in the other, \( \Phi_2 = M I_1 \), where \( M \) is the mutual inductance. So a change in current gives a proportional change in flux.
\( \displaystyle M = \frac{\Delta\Phi_2}{\Delta I_1} \)
\( \Delta\Phi_2 = 15\,\mathrm{Wb} \)
\( \Delta I_1 = 10 - 0 = 10\,\mathrm{A} \)
\( \displaystyle M = \frac{15\,\mathrm{Wb}}{10\,\mathrm{A}} = 1.5\,\mathrm{H} \)