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  4. Mutual inductance M between two concentric coils of radii 1 m and 2 m is

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Q. Mutual inductance $M$ between two concentric coils of radii $1 \,m$ and $2\, m$ is

AIIMSAIIMS 2011Electromagnetic Induction

Solution:

Here, $r_{1}= 1 \,m, \,r_{2} = 2 \,m$
Mutual inductance, $M =\frac{\mu_{0}\pi r^{2}_{1}}{2r_{2}}$
$=\frac{\mu_{0}\pi\times1}{2\times2}$
$=\frac{\mu_{0}\pi}{4}$