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JEE Mains · Physics · STD 12 -6. Electromagnetic induction

Two concentric circular coils with radii \(1\,cm\) and \(1000\,cm\), and number of turns \(10\) and \(200\) respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be \(.........\times 10^{-8}\,H\)(Take, \(\pi^2=10\))

  1. A \(3\)
  2. B \(2\)
  3. C \(4\)
  4. D \(0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4\)

Step-by-step Solution

Detailed explanation

\(r_1=1\,cm , N_1=10\) \(r_2=1000\,cm , N_2=200\) \(\phi_{1.2}=M I_2\) \(N_2 \vec{B}_2 \cdot N_1 \vec{A}_1=M I_2\) \(\Rightarrow N_1 N_2 \frac{\mu_0 I_2}{2 r_2} \cdot \pi r_1^2=M I_2\)…