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Question: Answered & Verified by Expert
Mutual inductance $M$ between two concentric coils of radii $1 \mathrm{~m}$ and $2 \mathrm{~m}$ is
PhysicsElectromagnetic InductionAIIMSAIIMS 2011
Options:
  • A $\frac{\mu_0 \pi}{2}$
  • B $\frac{\mu_0 \pi}{4}$
  • C $\frac{\mu_0 \pi}{8}$
  • D $\frac{\mu_0 \pi}{10}$
Solution:
1658 Upvotes Verified Answer
The correct answer is: $\frac{\mu_0 \pi}{4}$
Here, $r_1=1 \mathrm{~m}, r_2=2 \mathrm{~m}$
$$
\text { Mutual inductance, } \begin{aligned}
M & =\frac{\mu_0 \pi r_1^2}{2 r_2} \\
& =\frac{\mu_0 \pi \times 1}{2 \times 2}=\frac{\mu_0 \pi}{4}
\end{aligned}
$$

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