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Two coils of self inductance 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is

(a) 16 mH (b) 10 mH (b) 10 mH (d) 4 mH

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Correct option (d) \(4 \mathrm{mH}\)
Explanation:
Mutual inductance between coils is
$$
\begin{aligned}
M &=K \sqrt{L_{1} L_{2}} \\
\text { or, } M &=1 \sqrt{2 \times 10^{-3} \times 8 \times 10^{-3}} \quad(\because K=1) \\
&=4 \times 10^{-3}=4 \mathrm{mH} .
\end{aligned}
$$
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