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Q6.9 A pair of adjacent coils has a mutual inductance of $1.5H$ . If the current in one coil changes from $0$ to $20A$ in $0.5s$ , what is the change of flux linkage with the other coil?

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Given

Mutual inductance between two coils:

$M = 1.5H$

Currents in a coil:

$I_{initial}=0$

$I_{final}=20$

Change in current:

$di=20-0=20$

the time taken for the change

$dt=0.5s$

The relation between emf and mutual inductance:

$e=M\frac{di}{dt}$

$e= \frac{d\phi }{dt}=M\frac{di}{dt}$

$d\phi =Mdi$ $d\phi =Mdi=1.5*20=30Wb$

Hence, the change in flux in the coil is $30Wb$ .

Posted by

Pankaj Sanodiya

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