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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Electromagnetic Induction

AIIMS 2011 · Physics · Electromagnetic Induction

Mutual inductance M between two concentric coils of radii 1 ~m and...

Mutual inductance MM between two concentric coils of radii 1 m1 \mathrm{~m} and 2 m2 \mathrm{~m} is

Options

  1. Aμ0π2\frac{\mu_0 \pi}{2}
  2. Bμ0π4\frac{\mu_0 \pi}{4}
  3. Cμ0π8\frac{\mu_0 \pi}{8}
  4. Dμ0π10\frac{\mu_0 \pi}{10}

Correct answer

B. μ0π4\frac{\mu_0 \pi}{4}

Step-by-step solution

Here, r1=1m,r2=2m Mutual inductance, r_1=1 \mathrm{ m}, r_2=2 \mathrm{ m} \text{ Mutual inductance, }M=μ0πr122r2=μ0π×12×2=μ0π4\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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