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TS EAMCET · Physics · Electromagnetic Induction

Two concentric circular coils, one of small radius \(r\) and the other of large radius \(R\) are placed co-axially with centres coinciding. If the radius \(r\) is changed by \(2 \%\), then the change in mutual inductance of the arrangement is (assume, \(r< < R\) )

  1. A \(2 \%\)
  2. B \(1.5 \%\)
  3. C \(4 \%\)
  4. D \(0 \%\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \%\)

Step-by-step Solution

Detailed explanation

Mutual inductance, \(M=\frac{\mu_0 \pi N_1 N_2 r^2}{2 R}\) where, \(N_1=\) number of turns in inner coil, \(N_2=\) number of turns in outer coil, \(r=\) radius of inner coil and \(\quad R=\) radius of outer coil \(M \propto r^2\) Given that,…
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