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Q.

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

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Detailed Solution

$di = 20 - 0 = 20 A, dt = 0 .5 s, M = 1 .5 H$
Induced emf in the circuit:
$\begin{array}{l} e = - M \frac{di}{dt} \Rightarrow \frac{dϕ}{dt} = M \frac{di}{dt} \\ \Rightarrow dϕ = Mdi \end{array}$
The change of flux linkage: $dϕ = Mdi = 1 .5 \times 20 = 30 Wb$

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