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AP EAMCET · PHYSICS · Electromagnetic Induction

The ratio of the number of turns per unit length of two solenoids \(A\) and \(B\) is \(1: 3\) and the lengths of \(A\) and Bare in the ratio \(1: 2\). If the two solenoids have same cross sectional area, the ratio of the self inductances of the solenoids A and B is

  1. A \(1: 12\)
  2. B \(1: 6\)
  3. C \(1: 18\)
  4. D \(1: 9\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1: 18\)

Step-by-step Solution

Detailed explanation

For solenoids A and B , \(\mathrm{n}_1: \mathrm{n}_2=1: 3, \mathrm{l}_1: \mathrm{l}_2=1: 2, \mathrm{~A}_1=\mathrm{A}_2\) Self inductance, \(L=\mu_0 n^2 A 1 \Rightarrow L \mu n^2 1\)…
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