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MHT CET · Physics · Electromagnetic Induction

Two conducting circular loops of radii \(R_1\) and \(R_2\) are placed in the same plane with their centres coinciding. If \(R_1>R_2\), the mutual inductance \(M\) between them will be directly proportional to

  1. A \(\frac{\mathrm{R}_1}{\mathrm{R}_2}\)
  2. B \(\frac{\mathrm{R}_2}{\mathrm{R}_1}\)
  3. C \(\frac{\mathrm{R}_1^2}{\mathrm{R}_2}\)
  4. D \(\frac{\mathrm{R}_2^2}{\mathrm{R}_1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{R}_2^2}{\mathrm{R}_1}\)

Step-by-step Solution

Detailed explanation

\(M = \frac{\mu_0 \pi R_2^2}{2 R_1}\) \(M \propto \frac{R_2^2}{R_1}\)
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